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Solve for z
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\frac{42}{-7}=z-3
Divide both sides by -7.
-6=z-3
Divide 42 by -7 to get -6.
z-3=-6
Swap sides so that all variable terms are on the left hand side.
z=-6+3
Add 3 to both sides.
z=-3
Add -6 and 3 to get -3.