-[10z-(19z+6)]=6+(8z+4)

Solution for -[10z-(19z+6)]=6+(8z+4) equation:

Simplifying
-1[10z + -1(19z + 6)] = 6 + (8z + 4)

Reorder the terms:
-1[10z + -1(6 + 19z)] = 6 + (8z + 4)
-1[10z + (6 * -1 + 19z * -1)] = 6 + (8z + 4)
-1[10z + (-6 + -19z)] = 6 + (8z + 4)

Reorder the terms:
-1[-6 + 10z + -19z] = 6 + (8z + 4)

Combine like terms: 10z + -19z = -9z
-1[-6 + -9z] = 6 + (8z + 4)
[-6 * -1 + -9z * -1] = 6 + (8z + 4)
[6 + 9z] = 6 + (8z + 4)

Reorder the terms:
6 + 9z = 6 + (4 + 8z)

Remove parenthesis around (4 + 8z)
6 + 9z = 6 + 4 + 8z

Combine like terms: 6 + 4 = 10
6 + 9z = 10 + 8z

Solving
6 + 9z = 10 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6 + 9z + -8z = 10 + 8z + -8z

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

Combine like terms: 8z + -8z = 0
6 + 1z = 10 + 0
6 + 1z = 10

Add '-6' to each side of the equation.
6 + -6 + 1z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 10 + -6
1z = 10 + -6

Combine like terms: 10 + -6 = 4
1z = 4

Divide each side by '1'.
z = 4

Simplifying
z = 4