Answer
$z=6$
Work Step by Step
We are given the equation $-\frac{1}{2}z+2=-1$. In order to solve, we can first subtract 2 from both sides.
$-\frac{1}{2}z+2-2=-1-2$
$-\frac{1}{2}z=-3$
Multiply both sides by -2.
$(-\frac{1}{2}z\times-2)=z=-3\times-2=6$
$z=6$