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Solve for z
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\frac{1}{2}-z=w
Swap sides so that all variable terms are on the left hand side.
-z=w-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
\frac{-z}{-1}=\frac{w-\frac{1}{2}}{-1}
Divide both sides by -1.
z=\frac{w-\frac{1}{2}}{-1}
Dividing by -1 undoes the multiplication by -1.
z=\frac{1}{2}-w
Divide w-\frac{1}{2} by -1.