8+3z-2=9z+22-4z

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Solution for 8+3z-2=9z+22-4z equation:


Simplifying
8 + 3z + -2 = 9z + 22 + -4z

Reorder the terms:
8 + -2 + 3z = 9z + 22 + -4z

Combine like terms: 8 + -2 = 6
6 + 3z = 9z + 22 + -4z

Reorder the terms:
6 + 3z = 22 + 9z + -4z

Combine like terms: 9z + -4z = 5z
6 + 3z = 22 + 5z

Solving
6 + 3z = 22 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 3z + -5z = 22 + 5z + -5z

Combine like terms: 3z + -5z = -2z
6 + -2z = 22 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + -2z = 22 + 0
6 + -2z = 22

Add '-6' to each side of the equation.
6 + -6 + -2z = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = 22 + -6
-2z = 22 + -6

Combine like terms: 22 + -6 = 16
-2z = 16

Divide each side by '-2'.
z = -8

Simplifying
z = -8

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