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5\times 12=3z
Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5z, the least common multiple of z,5.
60=3z
Multiply 5 and 12 to get 60.
3z=60
Swap sides so that all variable terms are on the left hand side.
z=\frac{60}{3}
Divide both sides by 3.
z=20
Divide 60 by 3 to get 20.