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

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

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

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

Reorder the terms:
27 + 9z + -2(-4 + z) = 3(z + -1) + 3(z + -2)
27 + 9z + (-4 * -2 + z * -2) = 3(z + -1) + 3(z + -2)
27 + 9z + (8 + -2z) = 3(z + -1) + 3(z + -2)

Reorder the terms:
27 + 8 + 9z + -2z = 3(z + -1) + 3(z + -2)

Combine like terms: 27 + 8 = 35
35 + 9z + -2z = 3(z + -1) + 3(z + -2)

Combine like terms: 9z + -2z = 7z
35 + 7z = 3(z + -1) + 3(z + -2)

Reorder the terms:
35 + 7z = 3(-1 + z) + 3(z + -2)
35 + 7z = (-1 * 3 + z * 3) + 3(z + -2)
35 + 7z = (-3 + 3z) + 3(z + -2)

Reorder the terms:
35 + 7z = -3 + 3z + 3(-2 + z)
35 + 7z = -3 + 3z + (-2 * 3 + z * 3)
35 + 7z = -3 + 3z + (-6 + 3z)

Reorder the terms:
35 + 7z = -3 + -6 + 3z + 3z

Combine like terms: -3 + -6 = -9
35 + 7z = -9 + 3z + 3z

Combine like terms: 3z + 3z = 6z
35 + 7z = -9 + 6z

Solving
35 + 7z = -9 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
35 + 7z + -6z = -9 + 6z + -6z

Combine like terms: 7z + -6z = 1z
35 + 1z = -9 + 6z + -6z

Combine like terms: 6z + -6z = 0
35 + 1z = -9 + 0
35 + 1z = -9

Add '-35' to each side of the equation.
35 + -35 + 1z = -9 + -35

Combine like terms: 35 + -35 = 0
0 + 1z = -9 + -35
1z = -9 + -35

Combine like terms: -9 + -35 = -44
1z = -44

Divide each side by '1'.
z = -44

Simplifying
z = -44