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

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Solution for 12(z+3)-3(z-4)=4(z-1)+4(z-2) equation: 


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

Reorder the terms:
12(3 + z) + -3(z + -4) = 4(z + -1) + 4(z + -2)
(3 * 12 + z * 12) + -3(z + -4) = 4(z + -1) + 4(z + -2)
(36 + 12z) + -3(z + -4) = 4(z + -1) + 4(z + -2)

Reorder the terms:
36 + 12z + -3(-4 + z) = 4(z + -1) + 4(z + -2)
36 + 12z + (-4 * -3 + z * -3) = 4(z + -1) + 4(z + -2)
36 + 12z + (12 + -3z) = 4(z + -1) + 4(z + -2)

Reorder the terms:
36 + 12 + 12z + -3z = 4(z + -1) + 4(z + -2)

Combine like terms: 36 + 12 = 48
48 + 12z + -3z = 4(z + -1) + 4(z + -2)

Combine like terms: 12z + -3z = 9z
48 + 9z = 4(z + -1) + 4(z + -2)

Reorder the terms:
48 + 9z = 4(-1 + z) + 4(z + -2)
48 + 9z = (-1 * 4 + z * 4) + 4(z + -2)
48 + 9z = (-4 + 4z) + 4(z + -2)

Reorder the terms:
48 + 9z = -4 + 4z + 4(-2 + z)
48 + 9z = -4 + 4z + (-2 * 4 + z * 4)
48 + 9z = -4 + 4z + (-8 + 4z)

Reorder the terms:
48 + 9z = -4 + -8 + 4z + 4z

Combine like terms: -4 + -8 = -12
48 + 9z = -12 + 4z + 4z

Combine like terms: 4z + 4z = 8z
48 + 9z = -12 + 8z

Solving
48 + 9z = -12 + 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.
48 + 9z + -8z = -12 + 8z + -8z

Combine like terms: 9z + -8z = 1z
48 + 1z = -12 + 8z + -8z

Combine like terms: 8z + -8z = 0
48 + 1z = -12 + 0
48 + 1z = -12

Add '-48' to each side of the equation.
48 + -48 + 1z = -12 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = -12 + -48
1z = -12 + -48

Combine like terms: -12 + -48 = -60
1z = -60

Divide each side by '1'.
z = -60

Simplifying
z = -60

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