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

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


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

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

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

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

Combine like terms: 18 + 3 = 21
21 + 9z + -3z = 2(z + -2) + 3(z + -2)

Combine like terms: 9z + -3z = 6z
21 + 6z = 2(z + -2) + 3(z + -2)

Reorder the terms:
21 + 6z = 2(-2 + z) + 3(z + -2)
21 + 6z = (-2 * 2 + z * 2) + 3(z + -2)
21 + 6z = (-4 + 2z) + 3(z + -2)

Reorder the terms:
21 + 6z = -4 + 2z + 3(-2 + z)
21 + 6z = -4 + 2z + (-2 * 3 + z * 3)
21 + 6z = -4 + 2z + (-6 + 3z)

Reorder the terms:
21 + 6z = -4 + -6 + 2z + 3z

Combine like terms: -4 + -6 = -10
21 + 6z = -10 + 2z + 3z

Combine like terms: 2z + 3z = 5z
21 + 6z = -10 + 5z

Solving
21 + 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.
21 + 6z + -5z = -10 + 5z + -5z

Combine like terms: 6z + -5z = 1z
21 + 1z = -10 + 5z + -5z

Combine like terms: 5z + -5z = 0
21 + 1z = -10 + 0
21 + 1z = -10

Add '-21' to each side of the equation.
21 + -21 + 1z = -10 + -21

Combine like terms: 21 + -21 = 0
0 + 1z = -10 + -21
1z = -10 + -21

Combine like terms: -10 + -21 = -31
1z = -31

Divide each side by '1'.
z = -31

Simplifying
z = -31

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