3z-8=2z-30

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Solution for 3z-8=2z-30 equation:


Simplifying
3z + -8 = 2z + -30

Reorder the terms:
-8 + 3z = 2z + -30

Reorder the terms:
-8 + 3z = -30 + 2z

Solving
-8 + 3z = -30 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-8 + 3z + -2z = -30 + 2z + -2z

Combine like terms: 3z + -2z = 1z
-8 + 1z = -30 + 2z + -2z

Combine like terms: 2z + -2z = 0
-8 + 1z = -30 + 0
-8 + 1z = -30

Add '8' to each side of the equation.
-8 + 8 + 1z = -30 + 8

Combine like terms: -8 + 8 = 0
0 + 1z = -30 + 8
1z = -30 + 8

Combine like terms: -30 + 8 = -22
1z = -22

Divide each side by '1'.
z = -22

Simplifying
z = -22

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