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

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

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

Reorder the terms:
9(4 + z) + -3(z + -1) = 3(z + -1) + 2(z + -3)
(4 * 9 + z * 9) + -3(z + -1) = 3(z + -1) + 2(z + -3)
(36 + 9z) + -3(z + -1) = 3(z + -1) + 2(z + -3)

Reorder the terms:
36 + 9z + -3(-1 + z) = 3(z + -1) + 2(z + -3)
36 + 9z + (-1 * -3 + z * -3) = 3(z + -1) + 2(z + -3)
36 + 9z + (3 + -3z) = 3(z + -1) + 2(z + -3)

Reorder the terms:
36 + 3 + 9z + -3z = 3(z + -1) + 2(z + -3)

Combine like terms: 36 + 3 = 39
39 + 9z + -3z = 3(z + -1) + 2(z + -3)

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

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

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

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

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

Combine like terms: 3z + 2z = 5z
39 + 6z = -9 + 5z

Solving
39 + 6z = -9 + 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 = -9 + 5z + -5z

Combine like terms: 6z + -5z = 1z
39 + 1z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
39 + 1z = -9 + 0
39 + 1z = -9

Add '-39' to each side of the equation.
39 + -39 + 1z = -9 + -39

Combine like terms: 39 + -39 = 0
0 + 1z = -9 + -39
1z = -9 + -39

Combine like terms: -9 + -39 = -48
1z = -48

Divide each side by '1'.
z = -48

Simplifying
z = -48