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

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

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

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

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

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

Combine like terms: 27 + 9 = 36
36 + 9z + -3z = 3(z + -2) + 2(z + -4)

Combine like terms: 9z + -3z = 6z
36 + 6z = 3(z + -2) + 2(z + -4)

Reorder the terms:
36 + 6z = 3(-2 + z) + 2(z + -4)
36 + 6z = (-2 * 3 + z * 3) + 2(z + -4)
36 + 6z = (-6 + 3z) + 2(z + -4)

Reorder the terms:
36 + 6z = -6 + 3z + 2(-4 + z)
36 + 6z = -6 + 3z + (-4 * 2 + z * 2)
36 + 6z = -6 + 3z + (-8 + 2z)

Reorder the terms:
36 + 6z = -6 + -8 + 3z + 2z

Combine like terms: -6 + -8 = -14
36 + 6z = -14 + 3z + 2z

Combine like terms: 3z + 2z = 5z
36 + 6z = -14 + 5z

Solving
36 + 6z = -14 + 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.
36 + 6z + -5z = -14 + 5z + -5z

Combine like terms: 6z + -5z = 1z
36 + 1z = -14 + 5z + -5z

Combine like terms: 5z + -5z = 0
36 + 1z = -14 + 0
36 + 1z = -14

Add '-36' to each side of the equation.
36 + -36 + 1z = -14 + -36

Combine like terms: 36 + -36 = 0
0 + 1z = -14 + -36
1z = -14 + -36

Combine like terms: -14 + -36 = -50
1z = -50

Divide each side by '1'.
z = -50

Simplifying
z = -50