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

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

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

Reorder the terms:
4(-6 + z) + -1(6 + 2z) = z
(-6 * 4 + z * 4) + -1(6 + 2z) = z
(-24 + 4z) + -1(6 + 2z) = z
-24 + 4z + (6 * -1 + 2z * -1) = z
-24 + 4z + (-6 + -2z) = z

Reorder the terms:
-24 + -6 + 4z + -2z = z

Combine like terms: -24 + -6 = -30
-30 + 4z + -2z = z

Combine like terms: 4z + -2z = 2z
-30 + 2z = z

Solving
-30 + 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.
-30 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
-30 + 1z = z + -1z

Combine like terms: z + -1z = 0
-30 + 1z = 0

Add '30' to each side of the equation.
-30 + 30 + 1z = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 1z = 0 + 30
1z = 0 + 30

Combine like terms: 0 + 30 = 30
1z = 30

Divide each side by '1'.
z = 30

Simplifying
z = 30