# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 68

$m=0$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $3(5+3m)-8=7$, is \begin{array}{l} 15+9m-8=7 \\\\ 9m=7-15+8 \\\\ 9m=0 \\\\ m=0 .\end{array} CHECKING: \begin{array}{l} 3(5+3\cdot0)-8=7 \\\\ 3(5)-8=7 \\\\ 15-8=7 \\\\ 7=7 \text{ (TRUE)} .\end{array} Hence, the solution is $m=0$.

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