3z-3=z+5

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Solution for 3z-3=z+5 equation:


Simplifying
3z + -3 = z + 5

Reorder the terms:
-3 + 3z = z + 5

Reorder the terms:
-3 + 3z = 5 + z

Solving
-3 + 3z = 5 + 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.
-3 + 3z + -1z = 5 + z + -1z

Combine like terms: 3z + -1z = 2z
-3 + 2z = 5 + z + -1z

Combine like terms: z + -1z = 0
-3 + 2z = 5 + 0
-3 + 2z = 5

Add '3' to each side of the equation.
-3 + 3 + 2z = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 2z = 5 + 3
2z = 5 + 3

Combine like terms: 5 + 3 = 8
2z = 8

Divide each side by '2'.
z = 4

Simplifying
z = 4

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