9(z+2)-3(z-4)=2(z-1)+3(z-4)

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Solution for 9(z+2)-3(z-4)=2(z-1)+3(z-4) equation: 


Simplifying
9(z + 2) + -3(z + -4) = 2(z + -1) + 3(z + -4)

Reorder the terms:
9(2 + z) + -3(z + -4) = 2(z + -1) + 3(z + -4)
(2 * 9 + z * 9) + -3(z + -4) = 2(z + -1) + 3(z + -4)
(18 + 9z) + -3(z + -4) = 2(z + -1) + 3(z + -4)

Reorder the terms:
18 + 9z + -3(-4 + z) = 2(z + -1) + 3(z + -4)
18 + 9z + (-4 * -3 + z * -3) = 2(z + -1) + 3(z + -4)
18 + 9z + (12 + -3z) = 2(z + -1) + 3(z + -4)

Reorder the terms:
18 + 12 + 9z + -3z = 2(z + -1) + 3(z + -4)

Combine like terms: 18 + 12 = 30
30 + 9z + -3z = 2(z + -1) + 3(z + -4)

Combine like terms: 9z + -3z = 6z
30 + 6z = 2(z + -1) + 3(z + -4)

Reorder the terms:
30 + 6z = 2(-1 + z) + 3(z + -4)
30 + 6z = (-1 * 2 + z * 2) + 3(z + -4)
30 + 6z = (-2 + 2z) + 3(z + -4)

Reorder the terms:
30 + 6z = -2 + 2z + 3(-4 + z)
30 + 6z = -2 + 2z + (-4 * 3 + z * 3)
30 + 6z = -2 + 2z + (-12 + 3z)

Reorder the terms:
30 + 6z = -2 + -12 + 2z + 3z

Combine like terms: -2 + -12 = -14
30 + 6z = -14 + 2z + 3z

Combine like terms: 2z + 3z = 5z
30 + 6z = -14 + 5z

Solving
30 + 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.
30 + 6z + -5z = -14 + 5z + -5z

Combine like terms: 6z + -5z = 1z
30 + 1z = -14 + 5z + -5z

Combine like terms: 5z + -5z = 0
30 + 1z = -14 + 0
30 + 1z = -14

Add '-30' to each side of the equation.
30 + -30 + 1z = -14 + -30

Combine like terms: 30 + -30 = 0
0 + 1z = -14 + -30
1z = -14 + -30

Combine like terms: -14 + -30 = -44
1z = -44

Divide each side by '1'.
z = -44

Simplifying
z = -44

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