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: 23

Answer

$t=-1$

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 -2 to everything inside of the first set of parenthesis and the -3 to everything inside of the second set of parenthesis, giving us the equation -3t+12-2t-8=9. We now simplify: $-5t+4=9 \\\\ -5t=5 \\\\ t=-1$
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