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}
