-[8z-(19z+6)]=6+(10z+5)

Solution for -[8z-(19z+6)]=6+(10z+5) equation:

Simplifying
-1[8z + -1(19z + 6)] = 6 + (10z + 5)

Reorder the terms:
-1[8z + -1(6 + 19z)] = 6 + (10z + 5)
-1[8z + (6 * -1 + 19z * -1)] = 6 + (10z + 5)
-1[8z + (-6 + -19z)] = 6 + (10z + 5)

Reorder the terms:
-1[-6 + 8z + -19z] = 6 + (10z + 5)

Combine like terms: 8z + -19z = -11z
-1[-6 + -11z] = 6 + (10z + 5)
[-6 * -1 + -11z * -1] = 6 + (10z + 5)
[6 + 11z] = 6 + (10z + 5)

Reorder the terms:
6 + 11z = 6 + (5 + 10z)

Remove parenthesis around (5 + 10z)
6 + 11z = 6 + 5 + 10z

Combine like terms: 6 + 5 = 11
6 + 11z = 11 + 10z

Solving
6 + 11z = 11 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
6 + 11z + -10z = 11 + 10z + -10z

Combine like terms: 11z + -10z = 1z
6 + 1z = 11 + 10z + -10z

Combine like terms: 10z + -10z = 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