Answer
$$n=-144\quad \mathrm{or}\quad \:n=144$$
Work Step by Step
We solve the given expression by using the rules of Algebra to isolate the variable on one side of the equation. Doing this, we find:
$$ \frac{1}{3}\left|n\right|=48\\ \left|n\right|=144\\ n=-144\quad \mathrm{or}\quad \:n=144$$