9(z+3)-4(z-3)=2(z-1)+2(z-2)

Solution for 9(z+3)-4(z-3)=2(z-1)+2(z-2) equation:

Simplifying
9(z + 3) + -4(z + -3) = 2(z + -1) + 2(z + -2)

Reorder the terms:
9(3 + z) + -4(z + -3) = 2(z + -1) + 2(z + -2)
(3 * 9 + z * 9) + -4(z + -3) = 2(z + -1) + 2(z + -2)
(27 + 9z) + -4(z + -3) = 2(z + -1) + 2(z + -2)

Reorder the terms:
27 + 9z + -4(-3 + z) = 2(z + -1) + 2(z + -2)
27 + 9z + (-3 * -4 + z * -4) = 2(z + -1) + 2(z + -2)
27 + 9z + (12 + -4z) = 2(z + -1) + 2(z + -2)

Reorder the terms:
27 + 12 + 9z + -4z = 2(z + -1) + 2(z + -2)

Combine like terms: 27 + 12 = 39
39 + 9z + -4z = 2(z + -1) + 2(z + -2)

Combine like terms: 9z + -4z = 5z
39 + 5z = 2(z + -1) + 2(z + -2)

Reorder the terms:
39 + 5z = 2(-1 + z) + 2(z + -2)
39 + 5z = (-1 * 2 + z * 2) + 2(z + -2)
39 + 5z = (-2 + 2z) + 2(z + -2)

Reorder the terms:
39 + 5z = -2 + 2z + 2(-2 + z)
39 + 5z = -2 + 2z + (-2 * 2 + z * 2)
39 + 5z = -2 + 2z + (-4 + 2z)

Reorder the terms:
39 + 5z = -2 + -4 + 2z + 2z

Combine like terms: -2 + -4 = -6
39 + 5z = -6 + 2z + 2z

Combine like terms: 2z + 2z = 4z
39 + 5z = -6 + 4z

Solving
39 + 5z = -6 + 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.
39 + 5z + -4z = -6 + 4z + -4z

Combine like terms: 5z + -4z = 1z
39 + 1z = -6 + 4z + -4z

Combine like terms: 4z + -4z = 0
39 + 1z = -6 + 0
39 + 1z = -6

Add '-39' to each side of the equation.
39 + -39 + 1z = -6 + -39

Combine like terms: 39 + -39 = 0
0 + 1z = -6 + -39
1z = -6 + -39

Combine like terms: -6 + -39 = -45
1z = -45

Divide each side by '1'.
z = -45

Simplifying
z = -45