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: 34

Answer

$a=-21/16$

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, the -2 to everything inside of the second set of parenthesis, and the 4 to everything in the third set of parenthesis, giving us the equation 6a-3-10a-2=12a+16. We now simplify: $-4a-5=12a+16 \\\\ -5=16a+16 \\\\ -21=16a \\\\ a=-21/16$
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