Answer
$n=-\dfrac{9}{10}$
Work Step by Step
Multiplying both sides of the equation by $
\dfrac{6}{5}
$ (which is the reciprocal of 5/6) and using the properties of equality, the value of the variable that satisfies the given equation, $
\dfrac{5}{6}n=-\dfrac{3}{4}
,$ is
\begin{array}{l}\require{cancel}
n=-\dfrac{3}{4}\cdot\dfrac{6}{5}
\\\\
n=-\dfrac{3}{\cancel{2}\cdot2}\cdot\dfrac{\cancel{2}\cdot3}{5}
\\\\
n=-\dfrac{9}{10}
.\end{array}
