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

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


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

Reorder the terms:
12(2 + z) + -4(z + -3) = 4(z + -1) + 3(2 + -1)
(2 * 12 + z * 12) + -4(z + -3) = 4(z + -1) + 3(2 + -1)
(24 + 12z) + -4(z + -3) = 4(z + -1) + 3(2 + -1)

Reorder the terms:
24 + 12z + -4(-3 + z) = 4(z + -1) + 3(2 + -1)
24 + 12z + (-3 * -4 + z * -4) = 4(z + -1) + 3(2 + -1)
24 + 12z + (12 + -4z) = 4(z + -1) + 3(2 + -1)

Reorder the terms:
24 + 12 + 12z + -4z = 4(z + -1) + 3(2 + -1)

Combine like terms: 24 + 12 = 36
36 + 12z + -4z = 4(z + -1) + 3(2 + -1)

Combine like terms: 12z + -4z = 8z
36 + 8z = 4(z + -1) + 3(2 + -1)

Reorder the terms:
36 + 8z = 4(-1 + z) + 3(2 + -1)
36 + 8z = (-1 * 4 + z * 4) + 3(2 + -1)
36 + 8z = (-4 + 4z) + 3(2 + -1)

Combine like terms: 2 + -1 = 1
36 + 8z = -4 + 4z + 3(1)

Multiply 3 * 1
36 + 8z = -4 + 4z + 3

Reorder the terms:
36 + 8z = -4 + 3 + 4z

Combine like terms: -4 + 3 = -1
36 + 8z = -1 + 4z

Solving
36 + 8z = -1 + 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.
36 + 8z + -4z = -1 + 4z + -4z

Combine like terms: 8z + -4z = 4z
36 + 4z = -1 + 4z + -4z

Combine like terms: 4z + -4z = 0
36 + 4z = -1 + 0
36 + 4z = -1

Add '-36' to each side of the equation.
36 + -36 + 4z = -1 + -36

Combine like terms: 36 + -36 = 0
0 + 4z = -1 + -36
4z = -1 + -36

Combine like terms: -1 + -36 = -37
4z = -37

Divide each side by '4'.
z = -9.25

Simplifying
z = -9.25

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