z+8=9z-7

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Solution for z+8=9z-7 equation:


Simplifying
z + 8 = 9z + -7

Reorder the terms:
8 + z = 9z + -7

Reorder the terms:
8 + z = -7 + 9z

Solving
8 + z = -7 + 9z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-9z' to each side of the equation.
8 + z + -9z = -7 + 9z + -9z

Combine like terms: z + -9z = -8z
8 + -8z = -7 + 9z + -9z

Combine like terms: 9z + -9z = 0
8 + -8z = -7 + 0
8 + -8z = -7

Add '-8' to each side of the equation.
8 + -8 + -8z = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -8z = -7 + -8
-8z = -7 + -8

Combine like terms: -7 + -8 = -15
-8z = -15

Divide each side by '-8'.
z = 1.875

Simplifying
z = 1.875

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