11z+22-3z+12=3z-9+4z-8

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Solution for 11z+22-3z+12=3z-9+4z-8 equation: 


Simplifying
11z + 22 + -3z + 12 = 3z + -9 + 4z + -8

Reorder the terms:
22 + 12 + 11z + -3z = 3z + -9 + 4z + -8

Combine like terms: 22 + 12 = 34
34 + 11z + -3z = 3z + -9 + 4z + -8

Combine like terms: 11z + -3z = 8z
34 + 8z = 3z + -9 + 4z + -8

Reorder the terms:
34 + 8z = -9 + -8 + 3z + 4z

Combine like terms: -9 + -8 = -17
34 + 8z = -17 + 3z + 4z

Combine like terms: 3z + 4z = 7z
34 + 8z = -17 + 7z

Solving
34 + 8z = -17 + 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.
34 + 8z + -7z = -17 + 7z + -7z

Combine like terms: 8z + -7z = 1z
34 + 1z = -17 + 7z + -7z

Combine like terms: 7z + -7z = 0
34 + 1z = -17 + 0
34 + 1z = -17

Add '-34' to each side of the equation.
34 + -34 + 1z = -17 + -34

Combine like terms: 34 + -34 = 0
0 + 1z = -17 + -34
1z = -17 + -34

Combine like terms: -17 + -34 = -51
1z = -51

Divide each side by '1'.
z = -51

Simplifying
z = -51

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