Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - 3.4 - Equations Involving Parentheses and Fractional Forms - Problem Set 3.4: 25

Answer

$n=-2$

Work Step by Step

The distributive property allows us to distribute anything multiplied by something inside of the parenthesis to whatever is inside of the parenthesis. Thus, we distribute the 3 to everything inside of the first set of parenthesis and the -5 to everything inside of the second set of parenthesis, giving us the equation 3n-30-5n-60=-86 We now simplify: $-2n-90=-86 \\\\ -2n=4 \\\\ n=-2$
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