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

Solution for -6(z-1)-(9-3z)=-4z equation:

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

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

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

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

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

Solving
-3 + -3z = -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-3 + -3z + 4z = -4z + 4z

Combine like terms: -3z + 4z = 1z
-3 + 1z = -4z + 4z

Combine like terms: -4z + 4z = 0
-3 + 1z = 0

Add '3' to each side of the equation.
-3 + 3 + 1z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1z = 0 + 3
1z = 0 + 3

Combine like terms: 0 + 3 = 3
1z = 3

Divide each side by '1'.
z = 3

Simplifying
z = 3