-[6z-(9z+5)]=5+(2z+1)

Solution for -[6z-(9z+5)]=5+(2z+1) equation:

Simplifying
-1[6z + -1(9z + 5)] = 5 + (2z + 1)

Reorder the terms:
-1[6z + -1(5 + 9z)] = 5 + (2z + 1)
-1[6z + (5 * -1 + 9z * -1)] = 5 + (2z + 1)
-1[6z + (-5 + -9z)] = 5 + (2z + 1)

Reorder the terms:
-1[-5 + 6z + -9z] = 5 + (2z + 1)

Combine like terms: 6z + -9z = -3z
-1[-5 + -3z] = 5 + (2z + 1)
[-5 * -1 + -3z * -1] = 5 + (2z + 1)
[5 + 3z] = 5 + (2z + 1)

Reorder the terms:
5 + 3z = 5 + (1 + 2z)

Remove parenthesis around (1 + 2z)
5 + 3z = 5 + 1 + 2z

Combine like terms: 5 + 1 = 6
5 + 3z = 6 + 2z

Solving
5 + 3z = 6 + 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.
5 + 3z + -2z = 6 + 2z + -2z

Combine like terms: 3z + -2z = 1z
5 + 1z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
5 + 1z = 6 + 0
5 + 1z = 6

Add '-5' to each side of the equation.
5 + -5 + 1z = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 6 + -5
1z = 6 + -5

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

Divide each side by '1'.
z = 1

Simplifying
z = 1