4z+7-2z=6+z-8

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Solution for 4z+7-2z=6+z-8 equation:


Simplifying
4z + 7 + -2z = 6 + z + -8

Reorder the terms:
7 + 4z + -2z = 6 + z + -8

Combine like terms: 4z + -2z = 2z
7 + 2z = 6 + z + -8

Reorder the terms:
7 + 2z = 6 + -8 + z

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

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

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

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

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

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

Combine like terms: -2 + -7 = -9
1z = -9

Divide each side by '1'.
z = -9

Simplifying
z = -9

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