3z+8=2z-2

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


Simplifying
3z + 8 = 2z + -2

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

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + 1z = -2 + -8

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

Combine like terms: -2 + -8 = -10
1z = -10

Divide each side by '1'.
z = -10

Simplifying
z = -10

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