z+10=3z-8

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Solution for z+10=3z-8 equation:


Simplifying
z + 10 = 3z + -8

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

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

Solving
10 + z = -8 + 3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3z' to each side of the equation.
10 + z + -3z = -8 + 3z + -3z

Combine like terms: z + -3z = -2z
10 + -2z = -8 + 3z + -3z

Combine like terms: 3z + -3z = 0
10 + -2z = -8 + 0
10 + -2z = -8

Add '-10' to each side of the equation.
10 + -10 + -2z = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = -8 + -10
-2z = -8 + -10

Combine like terms: -8 + -10 = -18
-2z = -18

Divide each side by '-2'.
z = 9

Simplifying
z = 9

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