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8\left(z+8\right)=\left(z+8\right)\times 7+8
Variable z cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by z+8.
8z+64=\left(z+8\right)\times 7+8
Use the distributive property to multiply 8 by z+8.
8z+64=7z+56+8
Use the distributive property to multiply z+8 by 7.
8z+64=7z+64
Add 56 and 8 to get 64.
8z+64-7z=64
Subtract 7z from both sides.
z+64=64
Combine 8z and -7z to get z.
z=64-64
Subtract 64 from both sides.
z=0
Subtract 64 from 64 to get 0.