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

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


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

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

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

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

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

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

Reorder the terms:
24 + 6z = 3(-2 + z) + 2(z + -1)
24 + 6z = (-2 * 3 + z * 3) + 2(z + -1)
24 + 6z = (-6 + 3z) + 2(z + -1)

Reorder the terms:
24 + 6z = -6 + 3z + 2(-1 + z)
24 + 6z = -6 + 3z + (-1 * 2 + z * 2)
24 + 6z = -6 + 3z + (-2 + 2z)

Reorder the terms:
24 + 6z = -6 + -2 + 3z + 2z

Combine like terms: -6 + -2 = -8
24 + 6z = -8 + 3z + 2z

Combine like terms: 3z + 2z = 5z
24 + 6z = -8 + 5z

Solving
24 + 6z = -8 + 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.
24 + 6z + -5z = -8 + 5z + -5z

Combine like terms: 6z + -5z = 1z
24 + 1z = -8 + 5z + -5z

Combine like terms: 5z + -5z = 0
24 + 1z = -8 + 0
24 + 1z = -8

Add '-24' to each side of the equation.
24 + -24 + 1z = -8 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = -8 + -24
1z = -8 + -24

Combine like terms: -8 + -24 = -32
1z = -32

Divide each side by '1'.
z = -32

Simplifying
z = -32

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