-2(z-6)-(6+4z)=-7z

Solution for -2(z-6)-(6+4z)=-7z equation:

Simplifying
-2(z + -6) + -1(6 + 4z) = -7z

Reorder the terms:
-2(-6 + z) + -1(6 + 4z) = -7z
(-6 * -2 + z * -2) + -1(6 + 4z) = -7z
(12 + -2z) + -1(6 + 4z) = -7z
12 + -2z + (6 * -1 + 4z * -1) = -7z
12 + -2z + (-6 + -4z) = -7z

Reorder the terms:
12 + -6 + -2z + -4z = -7z

Combine like terms: 12 + -6 = 6
6 + -2z + -4z = -7z

Combine like terms: -2z + -4z = -6z
6 + -6z = -7z

Solving
6 + -6z = -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
6 + -6z + 7z = -7z + 7z

Combine like terms: -6z + 7z = 1z
6 + 1z = -7z + 7z

Combine like terms: -7z + 7z = 0
6 + 1z = 0

Add '-6' to each side of the equation.
6 + -6 + 1z = 0 + -6

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

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

Divide each side by '1'.
z = -6

Simplifying
z = -6