## Elementary Algebra

Published by Cengage Learning

# Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1: 52

#### Answer

$n=-\dfrac{7}{16}$

#### Work Step by Step

Multiplying both sides of the equation by $\dfrac{7}{6}$ (which is the reciprocal of 6/7) and using the properties of equality, the value of the variable that satisfies the given equation, $\dfrac{6}{7}n=-\dfrac{3}{8} ,$ is \begin{array}{l}\require{cancel} n=-\dfrac{3}{8}\cdot\dfrac{7}{6} \\\\ n=-\dfrac{\cancel{3}}{8}\cdot\dfrac{7}{\cancel{3}\cdot2} \\\\ n=-\dfrac{7}{16} .\end{array}

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