6+17z-2=9z+109-7z

Solution for 6+17z-2=9z+109-7z equation:

Simplifying
6 + 17z + -2 = 9z + 109 + -7z

Reorder the terms:
6 + -2 + 17z = 9z + 109 + -7z

Combine like terms: 6 + -2 = 4
4 + 17z = 9z + 109 + -7z

Reorder the terms:
4 + 17z = 109 + 9z + -7z

Combine like terms: 9z + -7z = 2z
4 + 17z = 109 + 2z

Solving
4 + 17z = 109 + 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.
4 + 17z + -2z = 109 + 2z + -2z

Combine like terms: 17z + -2z = 15z
4 + 15z = 109 + 2z + -2z

Combine like terms: 2z + -2z = 0
4 + 15z = 109 + 0
4 + 15z = 109

Add '-4' to each side of the equation.
4 + -4 + 15z = 109 + -4

Combine like terms: 4 + -4 = 0
0 + 15z = 109 + -4
15z = 109 + -4

Combine like terms: 109 + -4 = 105
15z = 105

Divide each side by '15'.
z = 7

Simplifying
z = 7