-[5z-(14z+6)]=6+(8z+8)

Solution for -[5z-(14z+6)]=6+(8z+8) equation:

Simplifying
-1[5z + -1(14z + 6)] = 6 + (8z + 8)

Reorder the terms:
-1[5z + -1(6 + 14z)] = 6 + (8z + 8)
-1[5z + (6 * -1 + 14z * -1)] = 6 + (8z + 8)
-1[5z + (-6 + -14z)] = 6 + (8z + 8)

Reorder the terms:
-1[-6 + 5z + -14z] = 6 + (8z + 8)

Combine like terms: 5z + -14z = -9z
-1[-6 + -9z] = 6 + (8z + 8)
[-6 * -1 + -9z * -1] = 6 + (8z + 8)
[6 + 9z] = 6 + (8z + 8)

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

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

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

Solving
6 + 9z = 14 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6 + 9z + -8z = 14 + 8z + -8z

Combine like terms: 9z + -8z = 1z
6 + 1z = 14 + 8z + -8z

Combine like terms: 8z + -8z = 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