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

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

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

Reorder the terms:
-9(-6 + z) + -1(3 + -4z) = -6z
(-6 * -9 + z * -9) + -1(3 + -4z) = -6z
(54 + -9z) + -1(3 + -4z) = -6z
54 + -9z + (3 * -1 + -4z * -1) = -6z
54 + -9z + (-3 + 4z) = -6z

Reorder the terms:
54 + -3 + -9z + 4z = -6z

Combine like terms: 54 + -3 = 51
51 + -9z + 4z = -6z

Combine like terms: -9z + 4z = -5z
51 + -5z = -6z

Solving
51 + -5z = -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
51 + -5z + 6z = -6z + 6z

Combine like terms: -5z + 6z = 1z
51 + 1z = -6z + 6z

Combine like terms: -6z + 6z = 0
51 + 1z = 0

Add '-51' to each side of the equation.
51 + -51 + 1z = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 1z = 0 + -51
1z = 0 + -51

Combine like terms: 0 + -51 = -51
1z = -51

Divide each side by '1'.
z = -51

Simplifying
z = -51