3z-8=z+6

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


Simplifying
3z + -8 = z + 6

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

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

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

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

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

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

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

Combine like terms: 6 + 8 = 14
2z = 14

Divide each side by '2'.
z = 7

Simplifying
z = 7

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