2z-1=z+7

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Solution for 2z-1=z+7 equation:


Simplifying
2z + -1 = z + 7

Reorder the terms:
-1 + 2z = z + 7

Reorder the terms:
-1 + 2z = 7 + z

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 1z = 7 + 1

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

Combine like terms: 7 + 1 = 8
1z = 8

Divide each side by '1'.
z = 8

Simplifying
z = 8

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