-[5z-(9z+6)]=6+(3z+5)

Solution for -[5z-(9z+6)]=6+(3z+5) equation:

Simplifying
-1[5z + -1(9z + 6)] = 6 + (3z + 5)

Reorder the terms:
-1[5z + -1(6 + 9z)] = 6 + (3z + 5)
-1[5z + (6 * -1 + 9z * -1)] = 6 + (3z + 5)
-1[5z + (-6 + -9z)] = 6 + (3z + 5)

Reorder the terms:
-1[-6 + 5z + -9z] = 6 + (3z + 5)

Combine like terms: 5z + -9z = -4z
-1[-6 + -4z] = 6 + (3z + 5)
[-6 * -1 + -4z * -1] = 6 + (3z + 5)
[6 + 4z] = 6 + (3z + 5)

Reorder the terms:
6 + 4z = 6 + (5 + 3z)

Remove parenthesis around (5 + 3z)
6 + 4z = 6 + 5 + 3z

Combine like terms: 6 + 5 = 11
6 + 4z = 11 + 3z

Solving
6 + 4z = 11 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
6 + 4z + -3z = 11 + 3z + -3z

Combine like terms: 4z + -3z = 1z
6 + 1z = 11 + 3z + -3z

Combine like terms: 3z + -3z = 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