7z-8=z+2

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Solution for 7z-8=z+2 equation:


Simplifying
7z + -8 = z + 2

Reorder the terms:
-8 + 7z = z + 2

Reorder the terms:
-8 + 7z = 2 + z

Solving
-8 + 7z = 2 + 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.
-8 + 7z + -1z = 2 + z + -1z

Combine like terms: 7z + -1z = 6z
-8 + 6z = 2 + z + -1z

Combine like terms: z + -1z = 0
-8 + 6z = 2 + 0
-8 + 6z = 2

Add '8' to each side of the equation.
-8 + 8 + 6z = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 6z = 2 + 8
6z = 2 + 8

Combine like terms: 2 + 8 = 10
6z = 10

Divide each side by '6'.
z = 1.666666667

Simplifying
z = 1.666666667

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