-(3z-(6z+6))=6+(2z+10)

Solution for -(3z-(6z+6))=6+(2z+10) equation:

Simplifying
-1(3z + -1(6z + 6)) = 6 + (2z + 10)

Reorder the terms:
-1(3z + -1(6 + 6z)) = 6 + (2z + 10)
-1(3z + (6 * -1 + 6z * -1)) = 6 + (2z + 10)
-1(3z + (-6 + -6z)) = 6 + (2z + 10)

Reorder the terms:
-1(-6 + 3z + -6z) = 6 + (2z + 10)

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

Reorder the terms:
6 + 3z = 6 + (10 + 2z)

Remove parenthesis around (10 + 2z)
6 + 3z = 6 + 10 + 2z

Combine like terms: 6 + 10 = 16
6 + 3z = 16 + 2z

Solving
6 + 3z = 16 + 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 = 16 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 16 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = 16 + 0
6 + 1z = 16

Add '-6' to each side of the equation.
6 + -6 + 1z = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 16 + -6
1z = 16 + -6

Combine like terms: 16 + -6 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10