Answer
$j=-18$
Work Step by Step
Use the Division Property of Equality by dividing $6\pi$ to both sides of the equation:
$$\begin{align*}
-\frac{108\pi}{6\pi}&=\frac{6\pi{j}}{6\pi}\\
-18&=j\end{align*}$$
Check the solution by substituting $-18$ to the variable in the given equation:
$$\begin{align*}
-108\pi&=6j\\
-108\pi&\stackrel{?}{=}6\pi(-18)\\
-108\pi&\stackrel{\checkmark}{=}-108\pi\end{align*}$$
Thus, the solution is $j=-18$.
