Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 35

Answer

{ all real numbers}

Work Step by Step

First, we apply the distributive property in order to remove the parenthesis in the equation: $-5(n+1)-(n-2)=3(-2n-1)$ $-5n-5-n+2=-6n-3$ To solve this equation, we will first collect the variable and the constants on the opposite sides of the equality sign. Then, we will perform arithmetic operations on the resultant equation: $-5n-n+6n=-3-2+5$ $-6n+6n=-5+5$ $0=0$ Therefore, the solution set is {all real numbers}.
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