Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - Chapter 3 Review Problem Set: 20

Answer

$t=\dfrac{5}{21}$

Work Step by Step

Using the properties of equality, the value of the variable that satisfies the given equation, $ 3(2t-4)+2(3t+1)=-2(4t+3)-(t-1) ,$ is \begin{array}{l}\require{cancel} 6t-12+6t+2=-8t-6-t+1 \\\\ 6t+6t+8t+t=-6+1+12-2 \\\\ 21t=5 \\\\ t=\dfrac{5}{21} .\end{array}
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