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

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

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

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

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

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

Combine like terms: 18 + 3 = 21
21 + 9z + -3z = 2(z + -1) + 3(z + -1)

Combine like terms: 9z + -3z = 6z
21 + 6z = 2(z + -1) + 3(z + -1)

Reorder the terms:
21 + 6z = 2(-1 + z) + 3(z + -1)
21 + 6z = (-1 * 2 + z * 2) + 3(z + -1)
21 + 6z = (-2 + 2z) + 3(z + -1)

Reorder the terms:
21 + 6z = -2 + 2z + 3(-1 + z)
21 + 6z = -2 + 2z + (-1 * 3 + z * 3)
21 + 6z = -2 + 2z + (-3 + 3z)

Reorder the terms:
21 + 6z = -2 + -3 + 2z + 3z

Combine like terms: -2 + -3 = -5
21 + 6z = -5 + 2z + 3z

Combine like terms: 2z + 3z = 5z
21 + 6z = -5 + 5z

Solving
21 + 6z = -5 + 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.
21 + 6z + -5z = -5 + 5z + -5z

Combine like terms: 6z + -5z = 1z
21 + 1z = -5 + 5z + -5z

Combine like terms: 5z + -5z = 0
21 + 1z = -5 + 0
21 + 1z = -5

Add '-21' to each side of the equation.
21 + -21 + 1z = -5 + -21

Combine like terms: 21 + -21 = 0
0 + 1z = -5 + -21
1z = -5 + -21

Combine like terms: -5 + -21 = -26
1z = -26

Divide each side by '1'.
z = -26

Simplifying
z = -26