z+7=2z-1

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


Simplifying
z + 7 = 2z + -1

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

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

Solving
7 + z = -1 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
7 + z + -2z = -1 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
7 + -1z = -1 + 0
7 + -1z = -1

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

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

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

Divide each side by '-1'.
z = 8

Simplifying
z = 8

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