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

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


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

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

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

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

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

Combine like terms: 9z + -4z = 5z
30 + 5z = 2(z + -4) + 2(z + -3)

Reorder the terms:
30 + 5z = 2(-4 + z) + 2(z + -3)
30 + 5z = (-4 * 2 + z * 2) + 2(z + -3)
30 + 5z = (-8 + 2z) + 2(z + -3)

Reorder the terms:
30 + 5z = -8 + 2z + 2(-3 + z)
30 + 5z = -8 + 2z + (-3 * 2 + z * 2)
30 + 5z = -8 + 2z + (-6 + 2z)

Reorder the terms:
30 + 5z = -8 + -6 + 2z + 2z

Combine like terms: -8 + -6 = -14
30 + 5z = -14 + 2z + 2z

Combine like terms: 2z + 2z = 4z
30 + 5z = -14 + 4z

Solving
30 + 5z = -14 + 4z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-4z' to each side of the equation.
30 + 5z + -4z = -14 + 4z + -4z

Combine like terms: 5z + -4z = 1z
30 + 1z = -14 + 4z + -4z

Combine like terms: 4z + -4z = 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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