Verified Answer :

\(\dfrac{x}{-2}=4\ \ \ |multiply\ both\ sides\ by\ (-2)\\\\(-2)\cdot\dfrac{x}{-2}=(-2)\cdot4\\\\\boxed{x=-8}\\\\\dfrac{x}{3}+13=13\ \ \ |subtract\ 13\ from\ both\ sides\\\\\dfrac{x}{3}+13-13=13-13\\\\\dfrac{x}{3}=0\ \ \ |multpily\ both\ sides\ by\ 3\\\\ ot3^1\cdot\dfrac{x}{ ot3_1}=0\\\\\boxed{x=0}\)

\(\dfrac{z}{2}+2=4\ \ \ |subtract\ 2\ from\ both\ sides\\\\\dfrac{z}{2}+2-2=4-2\\\\\dfrac{z}{2}=2\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\ ot2^1\cdot\dfrac{z}{ ot2_1}=2\cdot2\\\\\boxed{z=4}\)