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

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


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

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

Combine like terms: 2 + -2 = 0
12 + 12z + -4(0) = 4(z + -4) + 3(2 + -4)

Multiply -4 * 0
12 + 12z + 0 = 4(z + -4) + 3(2 + -4)

Anything times zero is zero.
12 + 12z + 0 = 4(z + -4) + 3(2 + -4)

Reorder the terms:
12 + 0 + 12z = 4(z + -4) + 3(2 + -4)

Combine like terms: 12 + 0 = 12
12 + 12z = 4(z + -4) + 3(2 + -4)

Reorder the terms:
12 + 12z = 4(-4 + z) + 3(2 + -4)
12 + 12z = (-4 * 4 + z * 4) + 3(2 + -4)
12 + 12z = (-16 + 4z) + 3(2 + -4)

Combine like terms: 2 + -4 = -2
12 + 12z = -16 + 4z + 3(-2)

Multiply 3 * -2
12 + 12z = -16 + 4z + -6

Reorder the terms:
12 + 12z = -16 + -6 + 4z

Combine like terms: -16 + -6 = -22
12 + 12z = -22 + 4z

Solving
12 + 12z = -22 + 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.
12 + 12z + -4z = -22 + 4z + -4z

Combine like terms: 12z + -4z = 8z
12 + 8z = -22 + 4z + -4z

Combine like terms: 4z + -4z = 0
12 + 8z = -22 + 0
12 + 8z = -22

Add '-12' to each side of the equation.
12 + -12 + 8z = -22 + -12

Combine like terms: 12 + -12 = 0
0 + 8z = -22 + -12
8z = -22 + -12

Combine like terms: -22 + -12 = -34
8z = -34

Divide each side by '8'.
z = -4.25

Simplifying
z = -4.25

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