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Solve for z
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15=\frac{5z}{2-12}
Multiply 3 and 4 to get 12.
15=\frac{5z}{-10}
Subtract 12 from 2 to get -10.
15=-\frac{1}{2}z
Divide 5z by -10 to get -\frac{1}{2}z.
-\frac{1}{2}z=15
Swap sides so that all variable terms are on the left hand side.
z=15\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
z=-30
Multiply 15 and -2 to get -30.