-[7z-(17z+6)]=6+(9z+8)

Solution for -[7z-(17z+6)]=6+(9z+8) equation:

Simplifying
-1[7z + -1(17z + 6)] = 6 + (9z + 8)

Reorder the terms:
-1[7z + -1(6 + 17z)] = 6 + (9z + 8)
-1[7z + (6 * -1 + 17z * -1)] = 6 + (9z + 8)
-1[7z + (-6 + -17z)] = 6 + (9z + 8)

Reorder the terms:
-1[-6 + 7z + -17z] = 6 + (9z + 8)

Combine like terms: 7z + -17z = -10z
-1[-6 + -10z] = 6 + (9z + 8)
[-6 * -1 + -10z * -1] = 6 + (9z + 8)
[6 + 10z] = 6 + (9z + 8)

Reorder the terms:
6 + 10z = 6 + (8 + 9z)

Remove parenthesis around (8 + 9z)
6 + 10z = 6 + 8 + 9z

Combine like terms: 6 + 8 = 14
6 + 10z = 14 + 9z

Solving
6 + 10z = 14 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
6 + 10z + -9z = 14 + 9z + -9z

Combine like terms: 10z + -9z = 1z
6 + 1z = 14 + 9z + -9z

Combine like terms: 9z + -9z = 0
6 + 1z = 14 + 0
6 + 1z = 14

Add '-6' to each side of the equation.
6 + -6 + 1z = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 14 + -6
1z = 14 + -6

Combine like terms: 14 + -6 = 8
1z = 8

Divide each side by '1'.
z = 8

Simplifying
z = 8