5z-6=z+6

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Solution for 5z-6=z+6 equation:


Simplifying
5z + -6 = z + 6

Reorder the terms:
-6 + 5z = z + 6

Reorder the terms:
-6 + 5z = 6 + z

Solving
-6 + 5z = 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.
-6 + 5z + -1z = 6 + z + -1z

Combine like terms: 5z + -1z = 4z
-6 + 4z = 6 + z + -1z

Combine like terms: z + -1z = 0
-6 + 4z = 6 + 0
-6 + 4z = 6

Add '6' to each side of the equation.
-6 + 6 + 4z = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4z = 6 + 6
4z = 6 + 6

Combine like terms: 6 + 6 = 12
4z = 12

Divide each side by '4'.
z = 3

Simplifying
z = 3

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