Answer
The solutions are $m=4$ and $m=-10$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow |m+3|=7$
Write related linear equations.
$\Rightarrow m+3=7$ or $m+3=-7$
Subtract $3$ from each side.
$\Rightarrow m+3-3=7-3$ or $m+3-3=-7-3$
Simplify.
$\Rightarrow m=4$ or $m=-10$
The solutions are $m=4$ and $m=-10$.