Solve for z
z=-1
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20=5\left(3z+7\right)
Variable z cannot be equal to -\frac{7}{3} since division by zero is not defined. Multiply both sides of the equation by 3z+7.
20=15z+35
Use the distributive property to multiply 5 by 3z+7.
15z+35=20
Swap sides so that all variable terms are on the left hand side.
15z=20-35
Subtract 35 from both sides.
15z=-15
Subtract 35 from 20 to get -15.
z=\frac{-15}{15}
Divide both sides by 15.
z=-1
Divide -15 by 15 to get -1.
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