2z+(-12z)-(-20z)+(-12z)-6=6

Solution for 2z+(-12z)-(-20z)+(-12z)-6=6 equation:

Simplifying
2z + (-12z) + -1(-20z) + (-12z) + -6 = 6

Remove parenthesis around (-20z)
2z + (-12z) + -1 * -20z + (-12z) + -6 = 6

Multiply -1 * -20
2z + (-12z) + 20z + (-12z) + -6 = 6

Reorder the terms:
-6 + 2z + (-12z) + 20z + (-12z) = 6

Combine like terms: 2z + (-12z) = -10z
-6 + -10z + 20z + (-12z) = 6

Combine like terms: -10z + 20z = 10z
-6 + 10z + (-12z) = 6

Combine like terms: 10z + (-12z) = -2z
-6 + -2z = 6

Solving
-6 + -2z = 6

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + -2z = 6 + 6

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

Combine like terms: 6 + 6 = 12
-2z = 12

Divide each side by '-2'.
z = -6

Simplifying
z = -6