-[8z-(11z+6)]=6+(2z+5)

Solution for -[8z-(11z+6)]=6+(2z+5) equation:

Simplifying
-1[8z + -1(11z + 6)] = 6 + (2z + 5)

Reorder the terms:
-1[8z + -1(6 + 11z)] = 6 + (2z + 5)
-1[8z + (6 * -1 + 11z * -1)] = 6 + (2z + 5)
-1[8z + (-6 + -11z)] = 6 + (2z + 5)

Reorder the terms:
-1[-6 + 8z + -11z] = 6 + (2z + 5)

Combine like terms: 8z + -11z = -3z
-1[-6 + -3z] = 6 + (2z + 5)
[-6 * -1 + -3z * -1] = 6 + (2z + 5)
[6 + 3z] = 6 + (2z + 5)

Reorder the terms:
6 + 3z = 6 + (5 + 2z)

Remove parenthesis around (5 + 2z)
6 + 3z = 6 + 5 + 2z

Combine like terms: 6 + 5 = 11
6 + 3z = 11 + 2z

Solving
6 + 3z = 11 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + 3z + -2z = 11 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 11 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = 11 + 0
6 + 1z = 11

Add '-6' to each side of the equation.
6 + -6 + 1z = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 11 + -6
1z = 11 + -6

Combine like terms: 11 + -6 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5