3z-6=z-8

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Solution for 3z-6=z-8 equation:


Simplifying
3z + -6 = z + -8

Reorder the terms:
-6 + 3z = z + -8

Reorder the terms:
-6 + 3z = -8 + z

Solving
-6 + 3z = -8 + 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.
-6 + 3z + -1z = -8 + z + -1z

Combine like terms: 3z + -1z = 2z
-6 + 2z = -8 + z + -1z

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

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

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

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

Divide each side by '2'.
z = -1

Simplifying
z = -1

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