(z-2)=(2+7z)

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Solution for (z-2)=(2+7z) equation:


Simplifying
(z + -2) = (2 + 7z)

Reorder the terms:
(-2 + z) = (2 + 7z)

Remove parenthesis around (-2 + z)
-2 + z = (2 + 7z)

Remove parenthesis around (2 + 7z)
-2 + z = 2 + 7z

Solving
-2 + z = 2 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-2 + z + -7z = 2 + 7z + -7z

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

Combine like terms: 7z + -7z = 0
-2 + -6z = 2 + 0
-2 + -6z = 2

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

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

Combine like terms: 2 + 2 = 4
-6z = 4

Divide each side by '-6'.
z = -0.6666666667

Simplifying
z = -0.6666666667

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