What is the solution to the equation \(2x + 3 = 7\) ? This system of linear equations can be solved via substitution. When solving linear equations, the most important thing to remember is that the equation will remain equivalent to the original equation. Therefore, anything between -11 and 4 (inclusive) will not work. Solving linear equations and linear inequalities - In this blog post, we will explore one method of Solving linear equations and linear inequalities. If , \(3(\frac{x}{5}+\frac{1}{2})+1=10\) what is the value of \(\frac{x}{5}+\frac{1}{2}\)? For example, 10=10. Math Index. Good job developers! Direct link to Hecretary Bird's post Solving inequalities is a, Posted a year ago. Let's first talk about the linear equation, y=5 Direct link to Mrsosh's post It actually can't be the , Posted 2 months ago. A linear equation with one variable 130, \(x\), is an equation that can be written in the standard form \(ax + b = 0\) where \(a\) and \(b\) are real numbers and \(a 0\).For example \(3 x - 12 = 0\) A solution 131 to a linear equation is any value that can replace the . So if I subtract x. Solve. For the inequality 12s 4(s 2), which of the following best describes the solutions to this inequality? The equation above gives the total pressure, \(P\), on an object submerged in a fluid, where \(P_{o}\) is the pressure at the fluids surface, \(\rho\) is the density of the fluid, \(g\) is the acceleration due to gravity, and \(h\) is the depth to which the object is submerged. If \(3(m + 2) 5 = m + 2\). If \(ax+ay=a^2\) and \(a>1\), then \(x+y\) is equal to which of the following? Answer/Explanation. You may add or subtract any real number to both sides of an inequality, and you may multiply or divide both sides by any positive real number to create equivalent inequalities. interesting here is think about what would happen Direct link to janetraphael162001's post for equations with no sol, Posted 2 months ago. Substitution is a method of solutions through isolating for one variable and plugging that answer into another equation. 2k=36\), what is the value of \(4k-2\)? People use it to cheat on tests, or to get their homework done quickly. How do I add 6 to both sides to get the answer? I am a Maths Expert of IIT Foundation Courses. (Opens a modal) Solving linear equations and linear inequalities Harder example (Opens a modal) Practice. Contents. The equation has an infinite number of solutions because the equation is true for all values of \(x\). Solving linear equations and linear inequalities. Find the relationship between the equation and the expression, then evaluate the expression without solving for the variable. Besides that detail, the process is basically the same as solving an equation. Solving linear equations and inequalities: foundations. 4 4 6 4 4 4 6 4. Direct link to Jodie's post I'm studying for my TASC , Posted 6 years ago. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. If you mean to get the absolute value by itself, you'd have to divide by 4 on each side to cancel it out. \(ax-4(3 +2x )=-12\)In the equation above, \(a\) is a constant. what do you mean by adding 2 on the both side but doesn't changing the value of anything? The solutions here are so long. The steps for solving linear inequalities are similar to those for solving linear equations. In the equation above, k is a constant. Otherwise, the problem is straightforward, just solve for a. Most linear equations on the SAT have exactly one solution. If you want to improve your math skills, the best way is to practice as often as possible. This brings us to the final simplified statement that l is greater than or equal to 14/3. -x = 2y + 3. l,800(\(x\) + \(y\)) = 390. If \(3a + b = 19\) and \(a = 6\), then \(a + b\) =. An equation 129 is a statement indicating that two algebraic expressions are equal. The equation has one solution because a single value of \(x\) makes this equation true. If the microphone is not connected to the speaker, then the microphone senses 30 dB at a distance of 0 m from the speaker with the decibel level decreasing by 8 for every additional meter from the speaker. However, the first line has a (less than but equal) symbol. Use an open circle for < and > and a closed circle for and . Solving a Linear Inequation Algebraically: To solve a given linear inequation means to find the value or values of the variable used in it. Linear equations and inequalities are composed of. If 7\(x\)+21=-2, what is the value of \(x\)+3? This app is awesome, I was using photomath for a while and then it couldn't get me an answer. Progress. SAT Math Skill Review: Linear Equations. We can approach this type of question in two ways: Knowing the second approach is not required, though it may save you valuable time on test day. "Undo" the operations surrounding the variable so that you can get it by itself on one side, and then that becomes your answer. You're in luck!SUBSCRIBE NOW! what is the value of \(m + 2\) ? In the given equation, \(c\) is a constant. If 6x = 42 and xk = 2, what is the value of k? A linear equation is any equation that can be written in the form. Solve. my problem with this is that i don't understand why you are doing the steps you are, you need to go more in depth because just telling the steps without explaining why i need to do that step, wont help me remember to do that. A . Inequalities : Example Question #2 What is a possible valid value of x? The term x2 is quadratic, not linear. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Welcome to AMBiPi (Amans Maths Blogs). If you're looking for fast answers, you've come to the right place. If \(a = 12 b\), what is the value of \(4a\) when \(b = 10\)? Explanation: Solve the first equation for x by dividing both sides of the equation by 6 the result is 7. equation shown above, a is a constant. 300\(x\)+ 90\(y\) = 1,800B. Solving linear equations and linear inequalities Harder example. If \(6 . \(8ax-4 = 24\)Based on the equation above, what is the value of \(2ax- 1 \)? Direct link to fardinn78's post How about 2 solution and , Posted 2 months ago. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. If \(2n+12=26n\), what is the value of \(6n\)? 27 Critical SAT Math Concepts to Remember In this article, you will get SAT 2022 Math Practice Solving Linear Equations and Inequalities Questions with Answer Keys. No variable in a linear equation can have a power greater than 1. Substitution is a method of solutions through isolating for one variable and plugging that answer into another equation. Direct link to jackgebhardt's post the phrase "infinitely ma, Posted 7 years ago. Direct link to Shrikar's post Yeah - you can reset it a, Posted 2 years ago. When solving a linear equation with fraction coefficients or constants: When working with negative numbers, remember that: Sometimes, we're given an equation in two variables and we're told the value of one of the variables. Try looking for scholarships no the internet and contact the university that interests you for more info. If \(x =1\) when \(y = 2\) and if \(x = 3\) when \(y = 6\), which of the following equations could express \(y\) in terms of \(x\) ? There are properties of inequalities as well as there were properties of . When 3 is subtracted from the sum of a number and 10 the result is 2. In the equation above, h is a constant. In this article, you will get SAT 2022 Math Practice Solving Linear Equations and Inequalities Questions with Answer Keys. If \(3 ( 3x + 5) = 2x 8\) , what is the value of \(x\)? \(ax=5\)In the equation above, \(a\) is a constant. The one difference is that whenever you multiply or divide by a negative number, you have to switch the sides of the inequality. Now let's see, what happens if, let's see, I could get rid of both of these negative twos if :), I'm studying for my TASC Math exam, would this be of any help ? We'll guide you through every step of the way and make sure any task is a breeze. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Which of the following best describes the solution set to the equation shown above? Most of these questions on the SAT contain only one variable. So let's see what we could do with this thing right over here. For the SAT, you need to be familiar with inequality signs, how to use your linear equation-solving skills to solve linear inequalities, and how, Adding and subtracting decimals problem solving, Finding a missing coordinate using the distance formula calculator, Position velocity acceleration graph calculator, Proportional representation how does it work, Unit 6 radical functions homework 4 rational exponents answer key, Write the expression as a single logarithm calculator. Direct link to Beena's post Actually, the equation wo, Posted 7 years ago. Or I could take three minus five. Thus, to solve the inequation \(3x + 5 > 8\) means to find the variable \(x\) and to solve the inequation \(8 - 5y < 3\) means to find the variable \(y\) and so on. If \(2x + 4 = 100\), what is the value of \(6x + 12\) ? For inequalities, we have to pay attention to the direction of the inequality signs. Unit 10: Lesson 1. Linear Inequalities Rules. Example 5.7.2. (I don't even think over-prepared is a word) ;). The value of one solution to the equation above is 1. Note: If you're taking the SAT, then chances are you have a good understanding of how to solve linear equations and inequalities. Solving Linear Inequalitie. Even if to don't wanna type you can take a photo to give you the answers. How to Solve Linear Inequalities on the SAT Free linear inequality calculator - solve linear inequalities step-by-step. - [Instructor] Three l Which of the following is the solution to the equation shown above? These were all be situations where you have an infinite number of solutions. 6.6 solving systems of linear inequalities answers Air cargo chargeable weight Algebra lab matching graphs points and slopes Area of parallelogram calculator vertices Break calculator debate Circumference to volume Dependent math definition Dslr photo online Find the area of each regular polygon triangle Free math word search puzzles printable . Given the above equation, what is the value of 1 + 5(77 s)? Direct link to Matthias Schmitz's post You can do that too. If you're struggling to complete your assignments, Get Assignment can help. We may be asked to combine like terms and distribute coefficients when solving. Direct link to anaya19rajput's post khan academy have a unit , Posted 17 days ago. Solving non linear differencial equation, free calculator for fractions, pearson hall algebra 1 books/ answers, evaluate pre algebra, square ft/printables. x = -2y - 3. Direct link to Mrsosh's post Linear equations can't ha, Posted 2 months ago. We're 539 Math Specialists 9.7/10 Quality score 67093+ Delivered Orders Get Homework Help Complete step by step solution: The only difference between the two equations is that a linear equation gives a line graph . If the equation can be rewritten in the form, If the variable can be eliminated from the equation, and what remains is the equation. MathLinear Equations, Linear Inequalities, and Linear Functions in Context Oicial SAT Practice/essRn 3ODns IRU 7eDFKeUs E\ 7eDFKeUs 4 | | Wrap-UpMathematical Terms Review 10 minutes Create a list of terms related to this lesson with the class. [Show me!] Well if a was equal to nine, because if a is equal to nine In the equation above, what is the value of \(s\) when \(t\)=-1? Try: identify the steps to solving a linear equation, To solve the equation above, we can first. So the first thing we might wanna do, is let's get rid of Unit: Foundations: Algebra. If 9 4x + 1, which inequality represents the possible range of values of 12x + 3? Find the number. 1 Create equations and inequalities in one variable and use them to solve problems. I'm gonna have a situation. If 9 < 15mx 8 < 27, where m is a positive constant, what is the possible range of values of 8/3 5mx? . Plug the value of the known variable into the equation and solve. Solving linear equations and linear inequalities If 6x = 42 and xk = 2, what is the value of k? You will sometimes be asked to solve systems of two or more linear equations or inequalities. Which is that choice right there. 2.2E: Exercises. Direct link to lenchogomez1's post Is there any point in goi, Posted 2 months ago. We are subtracting, adding, dividing, and multiplying both side by certain values. khan academy have a unit test for this all? When distributing coefficients, recall that: The presence of fractions and negative numbers can make linear equations more difficult to solve. Solving linear equations and inequalities youtube - In algebra, one of the most important concepts is Solving linear equations and inequalities youtube. In the equation above, \(c\) is a constant. SAT MathsSAT EnglishSAT Practice Tests -(Full -Length). If you are meaning that there is only videos and no practice, try looking up "solving linear equations and linear inequalities practice problems" on Google and see what you find. Explanation: Solve the first equation for x by dividing both sides of the equation by 6 the result is 7. If multiplying \(k\) by 7 gives the same result as squaring \(k\), which of the following must be true? , it never hurts to be over-prepared does it? If \(5x-7 = 13\), what is the value of \(10x -14\)? I started this website to share my knowledge of Mathematics. SAT Khan Academy Solving Linear Equations and Inequalities. \(R\), \(S\) and \(J\) are positive single-digit integers. This one constitutes 3.62% of the test material. Since TASC Is High School Equivalency & tests your skills on a high school level ? But we must also solve for 2x - 2 < -20 (please notice that we negate 20 and we also flip the inequality sign).. First step: 2x - 2 > 20. 9\(n\) + 3 = 15\(n\)What value of \(n\) satisfies the given equation? Option D : The equation has infinitely many solutions. try: change the number of solutions for a linear equation, The equation has infinitely many solutions if, Practice: solve a linear equation in one variable, Practice: find a value that does not satisfy an inequality, Which of the following numbers is NOT a solution to the inequality, practice: determine the condition for no solution. are going to add to zero. The strategy here is to isolate. I was working through this problem for PRACTICE: DETERMINE THE CONDITION FOR NO SOLUTION, but I don't understand why you can claim that 3ax=6x and ignore the -11 and +6. BYJU'S online graphing linear . x = 2y + 3 x = 2y+3. VERIFYING SOLUTIONS A linear equation is made up of two expressions that are equal to each other. For instance, with. when am I supposed to change the inequality sign? If you're seeing this message, it means we're having trouble loading external resources on our website. When it comes to math, it's important to be able to clarify tasks in order to complete them effectively. \(2k(x 2) = x 2\)In the equation above, \(k\) is a constant. The direction of the distribution doesn't matter. Solve. And if you divide both sides by three, you're not going to change the sign. - [Instructor] In the Similarly, a linear inequality is also a linear function, but it shows a relationship between values using "greater than" or "less than" signs. OpenStax. Solving linear inequalities and representing the solution (A.REI.1. If the equation has both fraction coefficients and fraction constants, consider getting rid of the fractions in the first step. What value of \(x\) satisfies the given equation? Thanks to all of you who support me on Patreon. Let's start off with -2x = 4y + 6. Do my homework now. 5\(x\) 2 + 3\(x\) = 3(\(x\) + 4) + 5\(x\) 10Which of the following statements is true about the equation above? Focus: Fluency of solving linear equations, linear inequalities, Students will solve linear equations, linear inequalities, and systems of linear. Direct link to J.Throws33's post Whenever you divide by a , Posted 8 months ago. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. try: identify the steps to solving a linear inequality, To solve the inequality above, we can first. What is the solution to \(-3 ( x-5) = -2x + 4\)? Any x times nine is going to be equal to that same x times nine again. Algebra basics One-step addition & subtraction equations Worked example: Solving proportions. Direct link to Breja McCray's post for equations with no sol, Posted 7 days ago. What is the value of the other solution? is equal to ax plus x. I used Khan Academy and prepscholar blog when studying the SAT and ended up in 1400s. I love how it can scan different types of writing, and it scans smartly, and how it gives you the different solutions depending on what you have to do, like factor or reduce. Exercise 1.1E. Because of this, we need to divide it by 3. In the equation shown above, b is a constant. 5 questions. The goal of solving a linear equation is to find the value of a variable; we isolate the variable step by step until only the variable is on one side of the equation and only a constant is on the other. If \(\left | 2x +3 \right |=5\) and \(\left | 3y-3 \right |=6\), what is one possible value of \(\left | xy \right |\) ? You will sometimes be asked to solve systems of two or more linear equations or inequalities. Direct link to Jasmine Solorzano's post for equations with no sol, Posted 2 months ago. Colby, The equation y5 is a linear inequality equation. Would recommend to any student, this app works flawlessly. minus six is greater than or equal to eight. If you're struggling with math, there's no shame in getting calculation help online. There are two variables. Option B : s -2/3. And please u guys should reduce the price of the app for subscribing Is a very good app for maths solving. Our team is here to provide you with the support you need to succeed. How about 2 solution and how do we figure it out? If 15bx 20 > 35, where b is a positive constant, what is the possible range of values of 43bx? Both of the following are true inequalities. If \(2x+ 3 = x-4\), what is the value of \(x+ 8\)? Hi, I am AMAN RAJ. If the equation has exactly one solution, which of the following could NOT be the value of \(k\)? Graphing Linear Inequalities Calculator is a free online tool that displays the graph of the linear inequality equation. Which of the following is the solution to the equation shown above? Watch Sal work through a basic Solving linear equations problem. 1.1: Solving Linear Equations and Inequalities. Now just got an l on the left-hand side. The equation has exactly one solution, m=1. try: change the number of solutions for a linear equation, The equation has infinitely many solutions if, Practice: solve a linear equation in one variable, Practice: find a value that does not satisfy an inequality, Which of the following numbers is NOT a solution to the inequality, practice: determine the condition for no solution. to, a is equal to nine. I add two to both sides. In each pair, x is the first value and y is the second value. If \(3x=8y\) and both \(x\) and \(y\) are positive, which of the following equals \(40y\)? try: identify the steps to solving a linear inequality, To solve the inequality above, we can first. 3l/3=l, but we also need to change the other side: 14 divided by 3 equals 14 thirds, or 14/3. Great Answer. . Direct link to Aryan's post i have a doubt,'A sound t, Posted a year ago. Which equation represents this situation, where \(x\) is the number of computers and \(y\) is the number of books that the department can buy? Think about it. hii'm from Pakistan .I got 92% in matriculation,and 80% in fsc plz tell me how many marks are required in SATs for getting admission in LUMS and UK or USA scholorships..I want to study on fully funded scholorship plz guide me. What is \(h\) in terms of \(P, P_{o}, \rho\), and \(g\) ? these are in terms of l. They said l on one side, This is the first video in my free SAT math prep series! So how could I have an infinite number of solutions, an equation The. If \(3x = 24\), what is the value of \(2x 3\) ? You just follow the same process as you do for every equation and inequality. So we're gonna have three All but one of the techniques learned for solving linear equations apply to solving linear inequalities. However, with a little practice and perseverance, anyone can learn to love math! Posted 8 years ago. Greater than or equal to would turn to less than or equal to. SAT Math Help Algebra Equations / Inequalities Inequalities But we must also solve for 2x - 2 -20 (please notice that we negate 20 and we also Enhance your scholarly performance If you want to enhance your educational performance, focus on your study habits and make sure you're getting enough sleep. So we have two different scenarios here, and want to compare them. Also, the variable may or may not be an x x so don't get too . Instead, the equation would only be true when x = 0. Note that most linear equations will not start off in this form. if a and b are the same the equation has infinite no of solutions. Looking for a way to get detailed step-by-step solutions to your math problems? Heart of Algebra - SAT Suite of Assessments | College Board If the equation has both fraction coefficients and fraction constants, consider getting rid of the fractions in the first step. You can build a bright future for yourself by taking advantage of the resources and opportunities available to you. I'll leave the a in there and then see if I can get to a point where it's gonna have an Direct link to Madhih's post if a and b are the same t, Posted 4 days ago. Encourage students to deine/discuss the meaning of each one and keep a running list in a On your official SAT, you'll likely see 2 to 4 questions that test your ability to solve linear equations and inequalities. 2.1: Solve Equations Using the Subtraction and Addition Properties of Equality. When distributing coefficients, recall that: The presence of fractions and negative numbers can make linear equations more difficult to solve. For this problem, we must take into account the absolute value. We offer a wide range of services to help you get the grades you need. In order to demonstrate that, here we have to realize that we need a value for. Passport to Advanced Math. Check out our website for a wide variety of solutions to fit your needs. In all the equations we have solved so far, all the variable terms were on . Linear equations with no solutions or infinitely many solutions must be engineered by specifying the values of constants. For example: 10 > 5. Why did he add 6 to both sides of the equation? First subtract the second inequality from the first inequality; then solve for x : Now plug in 90 for x in the second inequality to solve for y : The ( x, y) values of where the lines cross are (90, 180). We may be asked to combine like terms and distribute coefficients when solving. To see this page as it is meant to appear, please enable your Javascript! Why don't we take the x common factor in 10x=ax+x, (a+1)x is the same thing as x(a+1). Which of the following pairs \((x,y)\) is a solution to the equation above? Solve the linear equation, then plug the value of the variable into the expression to evaluate it. Three meters from the speaker, what is the difference between the decibel level when it is connected to the speaker versus when it is not connected to the speaker? Combine the inequalities to find the ( x, y) values of where the lines cross. What is the value of \(c\) ? However, it's important to solve them in their various forms with consistency.We recommend that you write out your steps (instead of doing everything in your head) to avoid careless errors, and we will do the same in our examples! Direct link to MAKAYLA RAY's post no questions, I just dont, A guide to solving linear equations and linear inequalities on the digital SAT, a, x, plus minus, b, x, equals, left parenthesis, a, plus minus, b, right parenthesis, x, a, left parenthesis, b, x, plus minus, c, right parenthesis, equals, a, b, x, plus minus, a, c, 2, left parenthesis, x, plus, 1, right parenthesis, equals, 5, start fraction, 1, divided by, 2, end fraction, x, plus, 3, equals, 5, start fraction, 1, divided by, 2, end fraction, x, plus, start fraction, 1, divided by, 3, end fraction, equals, start fraction, 1, divided by, 5, end fraction, start text, n, e, g, a, t, i, v, e, end text, dot, start text, n, e, g, a, t, i, v, e, end text, equals, start text, p, o, s, i, t, i, v, e, end text, start text, p, o, s, i, t, i, v, e, end text, dot, start text, n, e, g, a, t, i, v, e, end text, equals, start text, n, e, g, a, t, i, v, e, end text, minus, 2, left parenthesis, x, minus, 5, right parenthesis, equals, 1, Inequalities with variables on both sides, minus, 2, x, is greater than, 9, plus, 4, x, minus, start fraction, 3, divided by, 2, end fraction, Creating an equation with infinitely many solutions, 2, x, minus, 4, equals, a, left parenthesis, x, minus, 2, right parenthesis, 2, left parenthesis, 3, x, plus, 1, right parenthesis, minus, left parenthesis, 9, minus, 2, x, right parenthesis, equals, 25, 7, x, minus, 3, is less than or equal to, 3, x, plus, 11, 3, a, x, minus, 11, equals, 4, left parenthesis, x, plus, 2, right parenthesis, plus, 2, left parenthesis, x, minus, 1, right parenthesis. A linear equation may have one or two variables in it, where each variable is raised to the power of 1. Most of these questions on the SAT contain only one variable. Zero equals zero. Let's see. It actually can't be the same because if a=b and both have the same value they are going to have infinite solutions. to eight plus six is 14. In this lesson, we'll learn to: Solve linear equations Solve linear inequalities Recognize the conditions under which a linear equation. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Looking for someone to help with your homework? Although the symbol certainly expresses an inequality, it is customary to use only the symbols <, >, , . The equation has no solution because the equation is not true for any value of \(x\). Direct link to sahilvalecha95's post They Are there must be so, Posted 3 months ago. It is to make the left side nothing but l, and it's currently 3l. Create the worksheets you need with Infinite Algebra 1. that would be the same, that would have an Actually, the equation wouldn't be invalid and have no solutions, it just would not have infinitely many solutions. 90\(x\)+ 300\(y\)= 1,800C. A. Click here for a 50% discount fo. For what value of a does the equation have infinitely many solutions? If 16 7w = w + 14 6w, what is the value of w 1? 1. I keep Remember You in my prayers. Sometimes, we'll be given a linear equation in one variable and be asked to evaluate a different expression containing the variable. Direct link to Clara's post If you mean to get the ab, Posted 3 years ago. Direct link to Jasmine Solorzano's post It actually can't be the , Posted a month ago. For what value of k are there no solutions to the equation? a different solution. If \(x+3=2x-2\), what is the value of \(x-4\)? describes the solutions to the inequality shown above? For the SAT, you need to be familiar with inequality signs, how to use your linear equation-solving skills to solve linear inequalities, and how, SAT Math Help Algebra Equations / Inequalities Inequalities But we must also solve for 2x - 2 -20 (please notice that we negate 20 and we also. B. Solving systems of linear equations: advanced. Check out our Math Homework Helper for tips and tricks on how to tackle those tricky math problems. . Solve Linear Equations 2. Solving Linear Equations & Inequalities In One Variable Full Solving Linear Equations/Inequalities (Part I). If \(6x + 3 = 2x + 9\), what is the value of \(4x\) ? 2. x 5y + 3. Top Experts . This six and this six To determine what the math problem is, you will need to look at the given information and figure out what is . In the equation above, if \(x=2\), what is the value of \(y\)? Just as with linear equations, our goal is to isolate the variable on one side of the inequality sign. . SECTION 3.1: LINEAR EQUATIONS A. There are many forms that can be used to provide multiple forms of content, including sentence fragments, lists, and questions. If \(\frac{a}{b}=\frac{1}{k}\), which of the following must be equal to 1? Direct link to Easton Gwamanda's post When Sal was at 10x-2=ax+, Posted 8 years ago. But instead simply we can take positive values to the other side and change their signs to make it easy. 90 x + 300 y = 1,800. Direct link to Lin Gh. So when I look at this thing up here, my first instinct is, well let's just see if I can simplify this a little bit.
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