-[9z-(11z+6)]=6+(1z+3)

Solution for -[9z-(11z+6)]=6+(1z+3) equation:

Simplifying
-1[9z + -1(11z + 6)] = 6 + (1z + 3)

Reorder the terms:
-1[9z + -1(6 + 11z)] = 6 + (1z + 3)
-1[9z + (6 * -1 + 11z * -1)] = 6 + (1z + 3)
-1[9z + (-6 + -11z)] = 6 + (1z + 3)

Reorder the terms:
-1[-6 + 9z + -11z] = 6 + (1z + 3)

Combine like terms: 9z + -11z = -2z
-1[-6 + -2z] = 6 + (1z + 3)
[-6 * -1 + -2z * -1] = 6 + (1z + 3)
[6 + 2z] = 6 + (1z + 3)

Reorder the terms:
6 + 2z = 6 + (3 + 1z)

Remove parenthesis around (3 + 1z)
6 + 2z = 6 + 3 + 1z

Combine like terms: 6 + 3 = 9
6 + 2z = 9 + 1z

Solving
6 + 2z = 9 + 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 = 9 + 1z + -1z

Combine like terms: 2z + -1z = 1z
6 + 1z = 9 + 1z + -1z

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

Add '-6' to each side of the equation.
6 + -6 + 1z = 9 + -6

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

Combine like terms: 9 + -6 = 3
1z = 3

Divide each side by '1'.
z = 3

Simplifying
z = 3