8+5z-2=9z+12-3z

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Solution for 8+5z-2=9z+12-3z equation:


Simplifying
8 + 5z + -2 = 9z + 12 + -3z

Reorder the terms:
8 + -2 + 5z = 9z + 12 + -3z

Combine like terms: 8 + -2 = 6
6 + 5z = 9z + 12 + -3z

Reorder the terms:
6 + 5z = 12 + 9z + -3z

Combine like terms: 9z + -3z = 6z
6 + 5z = 12 + 6z

Solving
6 + 5z = 12 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + 5z + -6z = 12 + 6z + -6z

Combine like terms: 5z + -6z = -1z
6 + -1z = 12 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + -1z = 12 + 0
6 + -1z = 12

Add '-6' to each side of the equation.
6 + -6 + -1z = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 12 + -6
-1z = 12 + -6

Combine like terms: 12 + -6 = 6
-1z = 6

Divide each side by '-1'.
z = -6

Simplifying
z = -6

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