-[4z-(6z+6)]=6+(1z+8)

Solution for -[4z-(6z+6)]=6+(1z+8) equation:

Simplifying
-1[4z + -1(6z + 6)] = 6 + (1z + 8)

Reorder the terms:
-1[4z + -1(6 + 6z)] = 6 + (1z + 8)
-1[4z + (6 * -1 + 6z * -1)] = 6 + (1z + 8)
-1[4z + (-6 + -6z)] = 6 + (1z + 8)

Reorder the terms:
-1[-6 + 4z + -6z] = 6 + (1z + 8)

Combine like terms: 4z + -6z = -2z
-1[-6 + -2z] = 6 + (1z + 8)
[-6 * -1 + -2z * -1] = 6 + (1z + 8)
[6 + 2z] = 6 + (1z + 8)

Reorder the terms:
6 + 2z = 6 + (8 + 1z)

Remove parenthesis around (8 + 1z)
6 + 2z = 6 + 8 + 1z

Combine like terms: 6 + 8 = 14
6 + 2z = 14 + 1z

Solving
6 + 2z = 14 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 2z + -1z = 14 + 1z + -1z

Combine like terms: 2z + -1z = 1z
6 + 1z = 14 + 1z + -1z

Combine like terms: 1z + -1z = 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