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

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

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

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

Reorder the terms:
27 + 9z + -4(-2 + z) = 2(z + -2) + 2(z + -1)
27 + 9z + (-2 * -4 + z * -4) = 2(z + -2) + 2(z + -1)
27 + 9z + (8 + -4z) = 2(z + -2) + 2(z + -1)

Reorder the terms:
27 + 8 + 9z + -4z = 2(z + -2) + 2(z + -1)

Combine like terms: 27 + 8 = 35
35 + 9z + -4z = 2(z + -2) + 2(z + -1)

Combine like terms: 9z + -4z = 5z
35 + 5z = 2(z + -2) + 2(z + -1)

Reorder the terms:
35 + 5z = 2(-2 + z) + 2(z + -1)
35 + 5z = (-2 * 2 + z * 2) + 2(z + -1)
35 + 5z = (-4 + 2z) + 2(z + -1)

Reorder the terms:
35 + 5z = -4 + 2z + 2(-1 + z)
35 + 5z = -4 + 2z + (-1 * 2 + z * 2)
35 + 5z = -4 + 2z + (-2 + 2z)

Reorder the terms:
35 + 5z = -4 + -2 + 2z + 2z

Combine like terms: -4 + -2 = -6
35 + 5z = -6 + 2z + 2z

Combine like terms: 2z + 2z = 4z
35 + 5z = -6 + 4z

Solving
35 + 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.
35 + 5z + -4z = -6 + 4z + -4z

Combine like terms: 5z + -4z = 1z
35 + 1z = -6 + 4z + -4z

Combine like terms: 4z + -4z = 0
35 + 1z = -6 + 0
35 + 1z = -6

Add '-35' to each side of the equation.
35 + -35 + 1z = -6 + -35

Combine like terms: 35 + -35 = 0
0 + 1z = -6 + -35
1z = -6 + -35

Combine like terms: -6 + -35 = -41
1z = -41

Divide each side by '1'.
z = -41

Simplifying
z = -41