-4(z-9)-(-6z-3)=z

Solution for -4(z-9)-(-6z-3)=z equation:

Simplifying
-4(z + -9) + -1(-6z + -3) = z

Reorder the terms:
-4(-9 + z) + -1(-6z + -3) = z
(-9 * -4 + z * -4) + -1(-6z + -3) = z
(36 + -4z) + -1(-6z + -3) = z

Reorder the terms:
36 + -4z + -1(-3 + -6z) = z
36 + -4z + (-3 * -1 + -6z * -1) = z
36 + -4z + (3 + 6z) = z

Reorder the terms:
36 + 3 + -4z + 6z = z

Combine like terms: 36 + 3 = 39
39 + -4z + 6z = z

Combine like terms: -4z + 6z = 2z
39 + 2z = z

Solving
39 + 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.
39 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
39 + 1z = z + -1z

Combine like terms: z + -1z = 0
39 + 1z = 0

Add '-39' to each side of the equation.
39 + -39 + 1z = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 1z = 0 + -39
1z = 0 + -39

Combine like terms: 0 + -39 = -39
1z = -39

Divide each side by '1'.
z = -39

Simplifying
z = -39