12z+36-4z+16=4z-16+3z-6

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Solution for 12z+36-4z+16=4z-16+3z-6 equation: 


Simplifying
12z + 36 + -4z + 16 = 4z + -16 + 3z + -6

Reorder the terms:
36 + 16 + 12z + -4z = 4z + -16 + 3z + -6

Combine like terms: 36 + 16 = 52
52 + 12z + -4z = 4z + -16 + 3z + -6

Combine like terms: 12z + -4z = 8z
52 + 8z = 4z + -16 + 3z + -6

Reorder the terms:
52 + 8z = -16 + -6 + 4z + 3z

Combine like terms: -16 + -6 = -22
52 + 8z = -22 + 4z + 3z

Combine like terms: 4z + 3z = 7z
52 + 8z = -22 + 7z

Solving
52 + 8z = -22 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
52 + 8z + -7z = -22 + 7z + -7z

Combine like terms: 8z + -7z = 1z
52 + 1z = -22 + 7z + -7z

Combine like terms: 7z + -7z = 0
52 + 1z = -22 + 0
52 + 1z = -22

Add '-52' to each side of the equation.
52 + -52 + 1z = -22 + -52

Combine like terms: 52 + -52 = 0
0 + 1z = -22 + -52
1z = -22 + -52

Combine like terms: -22 + -52 = -74
1z = -74

Divide each side by '1'.
z = -74

Simplifying
z = -74

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