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

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


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

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

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

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

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

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

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

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

Reorder the terms:
18 + 6z = -4 + -6 + 2z + 3z

Combine like terms: -4 + -6 = -10
18 + 6z = -10 + 2z + 3z

Combine like terms: 2z + 3z = 5z
18 + 6z = -10 + 5z

Solving
18 + 6z = -10 + 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.
18 + 6z + -5z = -10 + 5z + -5z

Combine like terms: 6z + -5z = 1z
18 + 1z = -10 + 5z + -5z

Combine like terms: 5z + -5z = 0
18 + 1z = -10 + 0
18 + 1z = -10

Add '-18' to each side of the equation.
18 + -18 + 1z = -10 + -18

Combine like terms: 18 + -18 = 0
0 + 1z = -10 + -18
1z = -10 + -18

Combine like terms: -10 + -18 = -28
1z = -28

Divide each side by '1'.
z = -28

Simplifying
z = -28

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