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

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

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

Reorder the terms:
9(2 + z) + -2(z + -3) = 4(z + -3) + 2(z + -1)
(2 * 9 + z * 9) + -2(z + -3) = 4(z + -3) + 2(z + -1)
(18 + 9z) + -2(z + -3) = 4(z + -3) + 2(z + -1)

Reorder the terms:
18 + 9z + -2(-3 + z) = 4(z + -3) + 2(z + -1)
18 + 9z + (-3 * -2 + z * -2) = 4(z + -3) + 2(z + -1)
18 + 9z + (6 + -2z) = 4(z + -3) + 2(z + -1)

Reorder the terms:
18 + 6 + 9z + -2z = 4(z + -3) + 2(z + -1)

Combine like terms: 18 + 6 = 24
24 + 9z + -2z = 4(z + -3) + 2(z + -1)

Combine like terms: 9z + -2z = 7z
24 + 7z = 4(z + -3) + 2(z + -1)

Reorder the terms:
24 + 7z = 4(-3 + z) + 2(z + -1)
24 + 7z = (-3 * 4 + z * 4) + 2(z + -1)
24 + 7z = (-12 + 4z) + 2(z + -1)

Reorder the terms:
24 + 7z = -12 + 4z + 2(-1 + z)
24 + 7z = -12 + 4z + (-1 * 2 + z * 2)
24 + 7z = -12 + 4z + (-2 + 2z)

Reorder the terms:
24 + 7z = -12 + -2 + 4z + 2z

Combine like terms: -12 + -2 = -14
24 + 7z = -14 + 4z + 2z

Combine like terms: 4z + 2z = 6z
24 + 7z = -14 + 6z

Solving
24 + 7z = -14 + 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.
24 + 7z + -6z = -14 + 6z + -6z

Combine like terms: 7z + -6z = 1z
24 + 1z = -14 + 6z + -6z

Combine like terms: 6z + -6z = 0
24 + 1z = -14 + 0
24 + 1z = -14

Add '-24' to each side of the equation.
24 + -24 + 1z = -14 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = -14 + -24
1z = -14 + -24

Combine like terms: -14 + -24 = -38
1z = -38

Divide each side by '1'.
z = -38

Simplifying
z = -38