-[9z-(19z+6)]=6+(9z+2)

Solution for -[9z-(19z+6)]=6+(9z+2) equation:

Simplifying
-1[9z + -1(19z + 6)] = 6 + (9z + 2)

Reorder the terms:
-1[9z + -1(6 + 19z)] = 6 + (9z + 2)
-1[9z + (6 * -1 + 19z * -1)] = 6 + (9z + 2)
-1[9z + (-6 + -19z)] = 6 + (9z + 2)

Reorder the terms:
-1[-6 + 9z + -19z] = 6 + (9z + 2)

Combine like terms: 9z + -19z = -10z
-1[-6 + -10z] = 6 + (9z + 2)
[-6 * -1 + -10z * -1] = 6 + (9z + 2)
[6 + 10z] = 6 + (9z + 2)

Reorder the terms:
6 + 10z = 6 + (2 + 9z)

Remove parenthesis around (2 + 9z)
6 + 10z = 6 + 2 + 9z

Combine like terms: 6 + 2 = 8
6 + 10z = 8 + 9z

Solving
6 + 10z = 8 + 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 = 8 + 9z + -9z

Combine like terms: 10z + -9z = 1z
6 + 1z = 8 + 9z + -9z

Combine like terms: 9z + -9z = 0
6 + 1z = 8 + 0
6 + 1z = 8

Add '-6' to each side of the equation.
6 + -6 + 1z = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 8 + -6
1z = 8 + -6

Combine like terms: 8 + -6 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2