8z-10=z-72+3

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Solution for 8z-10=z-72+3 equation:


Simplifying
8z + -10 = z + -72 + 3

Reorder the terms:
-10 + 8z = z + -72 + 3

Reorder the terms:
-10 + 8z = -72 + 3 + z

Combine like terms: -72 + 3 = -69
-10 + 8z = -69 + z

Solving
-10 + 8z = -69 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-10 + 8z + -1z = -69 + z + -1z

Combine like terms: 8z + -1z = 7z
-10 + 7z = -69 + z + -1z

Combine like terms: z + -1z = 0
-10 + 7z = -69 + 0
-10 + 7z = -69

Add '10' to each side of the equation.
-10 + 10 + 7z = -69 + 10

Combine like terms: -10 + 10 = 0
0 + 7z = -69 + 10
7z = -69 + 10

Combine like terms: -69 + 10 = -59
7z = -59

Divide each side by '7'.
z = -8.428571429

Simplifying
z = -8.428571429

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