12(z+1)-3(z-4)=4(z-3)+4(z-3)

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Solution for 12(z+1)-3(z-4)=4(z-3)+4(z-3) equation: 


Simplifying
12(z + 1) + -3(z + -4) = 4(z + -3) + 4(z + -3)

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

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

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

Combine like terms: 12 + 12 = 24
24 + 12z + -3z = 4(z + -3) + 4(z + -3)

Combine like terms: 12z + -3z = 9z
24 + 9z = 4(z + -3) + 4(z + -3)

Reorder the terms:
24 + 9z = 4(-3 + z) + 4(z + -3)
24 + 9z = (-3 * 4 + z * 4) + 4(z + -3)
24 + 9z = (-12 + 4z) + 4(z + -3)

Reorder the terms:
24 + 9z = -12 + 4z + 4(-3 + z)
24 + 9z = -12 + 4z + (-3 * 4 + z * 4)
24 + 9z = -12 + 4z + (-12 + 4z)

Reorder the terms:
24 + 9z = -12 + -12 + 4z + 4z

Combine like terms: -12 + -12 = -24
24 + 9z = -24 + 4z + 4z

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

Solving
24 + 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.
24 + 9z + -8z = -24 + 8z + -8z

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

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

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

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

Combine like terms: -24 + -24 = -48
1z = -48

Divide each side by '1'.
z = -48

Simplifying
z = -48

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