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 - Page 123: 26

Answer

n=3

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 -7 to everything inside of the first set of parenthesis and the 4 to everything inside of the second set of parenthesis, giving us the equation 4n+36-7n+56=83. We now simplify: $-3n+92=83 \\\\ -3n=-9 \\\\ n=3$
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