Answer
$-5=g$ or $-1=g$
Work Step by Step
$2=|g+3|\longrightarrow$ definition of absolute value
$-2=g+3$ or $2=g+3\longrightarrow$ solve each equation
$-2=g+3\longrightarrow$ subtract 3 from each side
$-2-3=g+3-3\longrightarrow$ subtract
$-5=g$
OR
$2=g+3\longrightarrow$ subtract 3 from each side
$2-3=g+3-3\longrightarrow$ subtract
$-1=g$