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

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

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

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

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

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

Combine like terms: 27 + 12 = 39
39 + 9z + -3z = 3(z + -2) + 2(z + -1)

Combine like terms: 9z + -3z = 6z
39 + 6z = 3(z + -2) + 2(z + -1)

Reorder the terms:
39 + 6z = 3(-2 + z) + 2(z + -1)
39 + 6z = (-2 * 3 + z * 3) + 2(z + -1)
39 + 6z = (-6 + 3z) + 2(z + -1)

Reorder the terms:
39 + 6z = -6 + 3z + 2(-1 + z)
39 + 6z = -6 + 3z + (-1 * 2 + z * 2)
39 + 6z = -6 + 3z + (-2 + 2z)

Reorder the terms:
39 + 6z = -6 + -2 + 3z + 2z

Combine like terms: -6 + -2 = -8
39 + 6z = -8 + 3z + 2z

Combine like terms: 3z + 2z = 5z
39 + 6z = -8 + 5z

Solving
39 + 6z = -8 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
39 + 6z + -5z = -8 + 5z + -5z

Combine like terms: 6z + -5z = 1z
39 + 1z = -8 + 5z + -5z

Combine like terms: 5z + -5z = 0
39 + 1z = -8 + 0
39 + 1z = -8

Add '-39' to each side of the equation.
39 + -39 + 1z = -8 + -39

Combine like terms: 39 + -39 = 0
0 + 1z = -8 + -39
1z = -8 + -39

Combine like terms: -8 + -39 = -47
1z = -47

Divide each side by '1'.
z = -47

Simplifying
z = -47