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

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

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

Reorder the terms:
9(2 + z) + -3(z + -3) = 3(z + -2) + 2(z + -1)
(2 * 9 + z * 9) + -3(z + -3) = 3(z + -2) + 2(z + -1)
(18 + 9z) + -3(z + -3) = 3(z + -2) + 2(z + -1)

Reorder the terms:
18 + 9z + -3(-3 + z) = 3(z + -2) + 2(z + -1)
18 + 9z + (-3 * -3 + z * -3) = 3(z + -2) + 2(z + -1)
18 + 9z + (9 + -3z) = 3(z + -2) + 2(z + -1)

Reorder the terms:
18 + 9 + 9z + -3z = 3(z + -2) + 2(z + -1)

Combine like terms: 18 + 9 = 27
27 + 9z + -3z = 3(z + -2) + 2(z + -1)

Combine like terms: 9z + -3z = 6z
27 + 6z = 3(z + -2) + 2(z + -1)

Reorder the terms:
27 + 6z = 3(-2 + z) + 2(z + -1)
27 + 6z = (-2 * 3 + z * 3) + 2(z + -1)
27 + 6z = (-6 + 3z) + 2(z + -1)

Reorder the terms:
27 + 6z = -6 + 3z + 2(-1 + z)
27 + 6z = -6 + 3z + (-1 * 2 + z * 2)
27 + 6z = -6 + 3z + (-2 + 2z)

Reorder the terms:
27 + 6z = -6 + -2 + 3z + 2z

Combine like terms: -6 + -2 = -8
27 + 6z = -8 + 3z + 2z

Combine like terms: 3z + 2z = 5z
27 + 6z = -8 + 5z

Solving
27 + 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.
27 + 6z + -5z = -8 + 5z + -5z

Combine like terms: 6z + -5z = 1z
27 + 1z = -8 + 5z + -5z

Combine like terms: 5z + -5z = 0
27 + 1z = -8 + 0
27 + 1z = -8

Add '-27' to each side of the equation.
27 + -27 + 1z = -8 + -27

Combine like terms: 27 + -27 = 0
0 + 1z = -8 + -27
1z = -8 + -27

Combine like terms: -8 + -27 = -35
1z = -35

Divide each side by '1'.
z = -35

Simplifying
z = -35