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

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

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

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

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

Combine like terms: 2z + -6z = -4z
-1[-6 + -4z] = 6 + 3(3z + 10)
[-6 * -1 + -4z * -1] = 6 + 3(3z + 10)
[6 + 4z] = 6 + 3(3z + 10)

Reorder the terms:
6 + 4z = 6 + 3(10 + 3z)
6 + 4z = 6 + (10 * 3 + 3z * 3)
6 + 4z = 6 + (30 + 9z)

Combine like terms: 6 + 30 = 36
6 + 4z = 36 + 9z

Solving
6 + 4z = 36 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
6 + 4z + -9z = 36 + 9z + -9z

Combine like terms: 4z + -9z = -5z
6 + -5z = 36 + 9z + -9z

Combine like terms: 9z + -9z = 0
6 + -5z = 36 + 0
6 + -5z = 36

Add '-6' to each side of the equation.
6 + -6 + -5z = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = 36 + -6
-5z = 36 + -6

Combine like terms: 36 + -6 = 30
-5z = 30

Divide each side by '-5'.
z = -6

Simplifying
z = -6