## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$m=0$
$\bf{\text{Solution Outline:}}$ 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 $m=0.$