Answer
$n=\{ -15,15 \}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
|n|=15
,$ use the definition of absolute value equality. Then graph the solution set.
$\bf{\text{Solution Details:}}$
Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c,$ the equation above is equivalent to
\begin{array}{l}\require{cancel}
n=15
\\\\\text{OR}\\\\
n=-15
.\end{array}
Hence, $
n=\{ -15,15 \}
.$
