Answer
$r=\dfrac{9}{2}$
Work Step by Step
Multiplying both sides by $
-\dfrac{2}{3}
$, then the solution to the given equation, $
\dfrac{-3r}{2}=-\dfrac{27}{4}
$, is
\begin{array}{l}\require{cancel}
\left(-\dfrac{2}{3}\right)\left(\dfrac{-3r}{2}\right)=\left(-\dfrac{27}{4}\right)\left(-\dfrac{2}{3}\right)
\\\\
\dfrac{6r}{6}=\dfrac{54}{12}
\\\\
r=\dfrac{\cancel{6}\cdot9}{\cancel{6}\cdot2}
\\\\
r=\dfrac{9}{2}
.\end{array}
