$$32k-32=-5k-32$$
Add $5k$ to both sides.$$32k-32+5k=-32$$
Combine $32k$ and $5k$ to get $37k$.$$37k-32=-32$$
Add $32$ to both sides.$$37k=-32+32$$
Add $-32$ and $32$ to get $0$.$$37k=0$$
Product of two numbers is equal to $0$ if at least one of them is $0$. Since $37$ is not equal to $0$, $k$ must be equal to $0$.$$k=0$$