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9z=4\left(z+15\right)
Variable z cannot be equal to -15 since division by zero is not defined. Multiply both sides of the equation by 9\left(z+15\right), the least common multiple of z+15,9.
9z=4z+60
Use the distributive property to multiply 4 by z+15.
9z-4z=60
Subtract 4z from both sides.
5z=60
Combine 9z and -4z to get 5z.
z=\frac{60}{5}
Divide both sides by 5.
z=12
Divide 60 by 5 to get 12.