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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -3z = -6 + 6 + 3z

Combine like terms: -6 + 6 = 0
0 + -3z = -6 + 6 + 3z
-3z = -6 + 6 + 3z

Combine like terms: -6 + 6 = 0
-3z = 0 + 3z
-3z = 3z

Solving
-3z = 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-3z + -3z = 3z + -3z

Combine like terms: -3z + -3z = -6z
-6z = 3z + -3z

Combine like terms: 3z + -3z = 0
-6z = 0

Divide each side by '-6'.
z = 0

Simplifying
z = 0