-(10z-(13z+6))=6+(2z+2)

Solution for -(10z-(13z+6))=6+(2z+2) equation:

Simplifying
-1(10z + -1(13z + 6)) = 6 + (2z + 2)

Reorder the terms:
-1(10z + -1(6 + 13z)) = 6 + (2z + 2)
-1(10z + (6 * -1 + 13z * -1)) = 6 + (2z + 2)
-1(10z + (-6 + -13z)) = 6 + (2z + 2)

Reorder the terms:
-1(-6 + 10z + -13z) = 6 + (2z + 2)

Combine like terms: 10z + -13z = -3z
-1(-6 + -3z) = 6 + (2z + 2)
(-6 * -1 + -3z * -1) = 6 + (2z + 2)
(6 + 3z) = 6 + (2z + 2)

Reorder the terms:
6 + 3z = 6 + (2 + 2z)

Remove parenthesis around (2 + 2z)
6 + 3z = 6 + 2 + 2z

Combine like terms: 6 + 2 = 8
6 + 3z = 8 + 2z

Solving
6 + 3z = 8 + 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.
6 + 3z + -2z = 8 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 8 + 2z + -2z

Combine like terms: 2z + -2z = 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