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

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

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

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

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

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

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

Solving
6 + 2z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 2z + -1z = z + -1z

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

Combine like terms: z + -1z = 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