-[8Z-(13Z+6)]=6+(4Z+8)

Solution for -[8Z-(13Z+6)]=6+(4Z+8) equation:

Simplifying
-1[8Z + -1(13Z + 6)] = 6 + (4Z + 8)

Reorder the terms:
-1[8Z + -1(6 + 13Z)] = 6 + (4Z + 8)
-1[8Z + (6 * -1 + 13Z * -1)] = 6 + (4Z + 8)
-1[8Z + (-6 + -13Z)] = 6 + (4Z + 8)

Reorder the terms:
-1[-6 + 8Z + -13Z] = 6 + (4Z + 8)

Combine like terms: 8Z + -13Z = -5Z
-1[-6 + -5Z] = 6 + (4Z + 8)
[-6 * -1 + -5Z * -1] = 6 + (4Z + 8)
[6 + 5Z] = 6 + (4Z + 8)

Reorder the terms:
6 + 5Z = 6 + (8 + 4Z)

Remove parenthesis around (8 + 4Z)
6 + 5Z = 6 + 8 + 4Z

Combine like terms: 6 + 8 = 14
6 + 5Z = 14 + 4Z

Solving
6 + 5Z = 14 + 4Z

Solving for variable 'Z'.

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

Add '-4Z' to each side of the equation.
6 + 5Z + -4Z = 14 + 4Z + -4Z

Combine like terms: 5Z + -4Z = 1Z
6 + 1Z = 14 + 4Z + -4Z

Combine like terms: 4Z + -4Z = 0
6 + 1Z = 14 + 0
6 + 1Z = 14

Add '-6' to each side of the equation.
6 + -6 + 1Z = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 1Z = 14 + -6
1Z = 14 + -6

Combine like terms: 14 + -6 = 8
1Z = 8

Divide each side by '1'.
Z = 8

Simplifying
Z = 8