#### Answer

$m=0$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given equation, $
|m|+3=3
,$ isolate first the absolute value expression. Then use the definition of an absolute value equality.
$\bf{\text{Solution Details:}}$
Using the properties of equality, the given equation is equivalent to
\begin{array}{l}\require{cancel}
|m|+3=3
\\\\
|m|=3-3
\\\\
|m|=0
.\end{array}
The expression above is satisfied only when $
m=0.
$