Answer
$m=-\frac{3}{5}$
Work Step by Step
$\frac{-3}{m}=\frac{2}{m+1}$ cross multiply
$-3(m+1)=2m$ distributive property
$-3m-3=2m$ add 3m to both sides
$-3m-3+3m=2m+3m$ combine like terms
$-3=5m$ divide both sides by 5
$-3\div5=5m\div5$ simplify
$-\frac{3}{5}=m$