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

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

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

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

Reorder the terms:
27 + 9z + -2(-3 + z) = 4(z + -2) + 2(z + -3)
27 + 9z + (-3 * -2 + z * -2) = 4(z + -2) + 2(z + -3)
27 + 9z + (6 + -2z) = 4(z + -2) + 2(z + -3)

Reorder the terms:
27 + 6 + 9z + -2z = 4(z + -2) + 2(z + -3)

Combine like terms: 27 + 6 = 33
33 + 9z + -2z = 4(z + -2) + 2(z + -3)

Combine like terms: 9z + -2z = 7z
33 + 7z = 4(z + -2) + 2(z + -3)

Reorder the terms:
33 + 7z = 4(-2 + z) + 2(z + -3)
33 + 7z = (-2 * 4 + z * 4) + 2(z + -3)
33 + 7z = (-8 + 4z) + 2(z + -3)

Reorder the terms:
33 + 7z = -8 + 4z + 2(-3 + z)
33 + 7z = -8 + 4z + (-3 * 2 + z * 2)
33 + 7z = -8 + 4z + (-6 + 2z)

Reorder the terms:
33 + 7z = -8 + -6 + 4z + 2z

Combine like terms: -8 + -6 = -14
33 + 7z = -14 + 4z + 2z

Combine like terms: 4z + 2z = 6z
33 + 7z = -14 + 6z

Solving
33 + 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.
33 + 7z + -6z = -14 + 6z + -6z

Combine like terms: 7z + -6z = 1z
33 + 1z = -14 + 6z + -6z

Combine like terms: 6z + -6z = 0
33 + 1z = -14 + 0
33 + 1z = -14

Add '-33' to each side of the equation.
33 + -33 + 1z = -14 + -33

Combine like terms: 33 + -33 = 0
0 + 1z = -14 + -33
1z = -14 + -33

Combine like terms: -14 + -33 = -47
1z = -47

Divide each side by '1'.
z = -47

Simplifying
z = -47