3z-2=z+10

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Solution for 3z-2=z+10 equation:


Simplifying
3z + -2 = z + 10

Reorder the terms:
-2 + 3z = z + 10

Reorder the terms:
-2 + 3z = 10 + z

Solving
-2 + 3z = 10 + 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.
-2 + 3z + -1z = 10 + z + -1z

Combine like terms: 3z + -1z = 2z
-2 + 2z = 10 + z + -1z

Combine like terms: z + -1z = 0
-2 + 2z = 10 + 0
-2 + 2z = 10

Add '2' to each side of the equation.
-2 + 2 + 2z = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2z = 10 + 2
2z = 10 + 2

Combine like terms: 10 + 2 = 12
2z = 12

Divide each side by '2'.
z = 6

Simplifying
z = 6

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