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

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


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

Reorder the terms:
9(4 + z) + -3(z + -2) = 2(z + -4) + 3(z + -2)
(4 * 9 + z * 9) + -3(z + -2) = 2(z + -4) + 3(z + -2)
(36 + 9z) + -3(z + -2) = 2(z + -4) + 3(z + -2)

Reorder the terms:
36 + 9z + -3(-2 + z) = 2(z + -4) + 3(z + -2)
36 + 9z + (-2 * -3 + z * -3) = 2(z + -4) + 3(z + -2)
36 + 9z + (6 + -3z) = 2(z + -4) + 3(z + -2)

Reorder the terms:
36 + 6 + 9z + -3z = 2(z + -4) + 3(z + -2)

Combine like terms: 36 + 6 = 42
42 + 9z + -3z = 2(z + -4) + 3(z + -2)

Combine like terms: 9z + -3z = 6z
42 + 6z = 2(z + -4) + 3(z + -2)

Reorder the terms:
42 + 6z = 2(-4 + z) + 3(z + -2)
42 + 6z = (-4 * 2 + z * 2) + 3(z + -2)
42 + 6z = (-8 + 2z) + 3(z + -2)

Reorder the terms:
42 + 6z = -8 + 2z + 3(-2 + z)
42 + 6z = -8 + 2z + (-2 * 3 + z * 3)
42 + 6z = -8 + 2z + (-6 + 3z)

Reorder the terms:
42 + 6z = -8 + -6 + 2z + 3z

Combine like terms: -8 + -6 = -14
42 + 6z = -14 + 2z + 3z

Combine like terms: 2z + 3z = 5z
42 + 6z = -14 + 5z

Solving
42 + 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.
42 + 6z + -5z = -14 + 5z + -5z

Combine like terms: 6z + -5z = 1z
42 + 1z = -14 + 5z + -5z

Combine like terms: 5z + -5z = 0
42 + 1z = -14 + 0
42 + 1z = -14

Add '-42' to each side of the equation.
42 + -42 + 1z = -14 + -42

Combine like terms: 42 + -42 = 0
0 + 1z = -14 + -42
1z = -14 + -42

Combine like terms: -14 + -42 = -56
1z = -56

Divide each side by '1'.
z = -56

Simplifying
z = -56

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