-[8z-(18z+6)]=6+(9z+9)

Solution for -[8z-(18z+6)]=6+(9z+9) equation:

Simplifying
-1[8z + -1(18z + 6)] = 6 + (9z + 9)

Reorder the terms:
-1[8z + -1(6 + 18z)] = 6 + (9z + 9)
-1[8z + (6 * -1 + 18z * -1)] = 6 + (9z + 9)
-1[8z + (-6 + -18z)] = 6 + (9z + 9)

Reorder the terms:
-1[-6 + 8z + -18z] = 6 + (9z + 9)

Combine like terms: 8z + -18z = -10z
-1[-6 + -10z] = 6 + (9z + 9)
[-6 * -1 + -10z * -1] = 6 + (9z + 9)
[6 + 10z] = 6 + (9z + 9)

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

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

Combine like terms: 6 + 9 = 15
6 + 10z = 15 + 9z

Solving
6 + 10z = 15 + 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 = 15 + 9z + -9z

Combine like terms: 10z + -9z = 1z
6 + 1z = 15 + 9z + -9z

Combine like terms: 9z + -9z = 0
6 + 1z = 15 + 0
6 + 1z = 15

Add '-6' to each side of the equation.
6 + -6 + 1z = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 15 + -6
1z = 15 + -6

Combine like terms: 15 + -6 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9