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

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

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

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

Reorder the terms:
24 + 12z + -3(-2 + z) = 4(z + -4) + 4(z + -1)
24 + 12z + (-2 * -3 + z * -3) = 4(z + -4) + 4(z + -1)
24 + 12z + (6 + -3z) = 4(z + -4) + 4(z + -1)

Reorder the terms:
24 + 6 + 12z + -3z = 4(z + -4) + 4(z + -1)

Combine like terms: 24 + 6 = 30
30 + 12z + -3z = 4(z + -4) + 4(z + -1)

Combine like terms: 12z + -3z = 9z
30 + 9z = 4(z + -4) + 4(z + -1)

Reorder the terms:
30 + 9z = 4(-4 + z) + 4(z + -1)
30 + 9z = (-4 * 4 + z * 4) + 4(z + -1)
30 + 9z = (-16 + 4z) + 4(z + -1)

Reorder the terms:
30 + 9z = -16 + 4z + 4(-1 + z)
30 + 9z = -16 + 4z + (-1 * 4 + z * 4)
30 + 9z = -16 + 4z + (-4 + 4z)

Reorder the terms:
30 + 9z = -16 + -4 + 4z + 4z

Combine like terms: -16 + -4 = -20
30 + 9z = -20 + 4z + 4z

Combine like terms: 4z + 4z = 8z
30 + 9z = -20 + 8z

Solving
30 + 9z = -20 + 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.
30 + 9z + -8z = -20 + 8z + -8z

Combine like terms: 9z + -8z = 1z
30 + 1z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
30 + 1z = -20 + 0
30 + 1z = -20

Add '-30' to each side of the equation.
30 + -30 + 1z = -20 + -30

Combine like terms: 30 + -30 = 0
0 + 1z = -20 + -30
1z = -20 + -30

Combine like terms: -20 + -30 = -50
1z = -50

Divide each side by '1'.
z = -50

Simplifying
z = -50