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

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Solution for 12(z+4)-3(z-4)=4(z-2)+4(z-4) equation: 


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

Reorder the terms:
12(4 + z) + -3(z + -4) = 4(z + -2) + 4(z + -4)
(4 * 12 + z * 12) + -3(z + -4) = 4(z + -2) + 4(z + -4)
(48 + 12z) + -3(z + -4) = 4(z + -2) + 4(z + -4)

Reorder the terms:
48 + 12z + -3(-4 + z) = 4(z + -2) + 4(z + -4)
48 + 12z + (-4 * -3 + z * -3) = 4(z + -2) + 4(z + -4)
48 + 12z + (12 + -3z) = 4(z + -2) + 4(z + -4)

Reorder the terms:
48 + 12 + 12z + -3z = 4(z + -2) + 4(z + -4)

Combine like terms: 48 + 12 = 60
60 + 12z + -3z = 4(z + -2) + 4(z + -4)

Combine like terms: 12z + -3z = 9z
60 + 9z = 4(z + -2) + 4(z + -4)

Reorder the terms:
60 + 9z = 4(-2 + z) + 4(z + -4)
60 + 9z = (-2 * 4 + z * 4) + 4(z + -4)
60 + 9z = (-8 + 4z) + 4(z + -4)

Reorder the terms:
60 + 9z = -8 + 4z + 4(-4 + z)
60 + 9z = -8 + 4z + (-4 * 4 + z * 4)
60 + 9z = -8 + 4z + (-16 + 4z)

Reorder the terms:
60 + 9z = -8 + -16 + 4z + 4z

Combine like terms: -8 + -16 = -24
60 + 9z = -24 + 4z + 4z

Combine like terms: 4z + 4z = 8z
60 + 9z = -24 + 8z

Solving
60 + 9z = -24 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
60 + 9z + -8z = -24 + 8z + -8z

Combine like terms: 9z + -8z = 1z
60 + 1z = -24 + 8z + -8z

Combine like terms: 8z + -8z = 0
60 + 1z = -24 + 0
60 + 1z = -24

Add '-60' to each side of the equation.
60 + -60 + 1z = -24 + -60

Combine like terms: 60 + -60 = 0
0 + 1z = -24 + -60
1z = -24 + -60

Combine like terms: -24 + -60 = -84
1z = -84

Divide each side by '1'.
z = -84

Simplifying
z = -84

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