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

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

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

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

Reorder the terms:
24 + 12z + -3(3 + z) = 4(z + -1) + 4(z + -3)
24 + 12z + (3 * -3 + z * -3) = 4(z + -1) + 4(z + -3)
24 + 12z + (-9 + -3z) = 4(z + -1) + 4(z + -3)

Reorder the terms:
24 + -9 + 12z + -3z = 4(z + -1) + 4(z + -3)

Combine like terms: 24 + -9 = 15
15 + 12z + -3z = 4(z + -1) + 4(z + -3)

Combine like terms: 12z + -3z = 9z
15 + 9z = 4(z + -1) + 4(z + -3)

Reorder the terms:
15 + 9z = 4(-1 + z) + 4(z + -3)
15 + 9z = (-1 * 4 + z * 4) + 4(z + -3)
15 + 9z = (-4 + 4z) + 4(z + -3)

Reorder the terms:
15 + 9z = -4 + 4z + 4(-3 + z)
15 + 9z = -4 + 4z + (-3 * 4 + z * 4)
15 + 9z = -4 + 4z + (-12 + 4z)

Reorder the terms:
15 + 9z = -4 + -12 + 4z + 4z

Combine like terms: -4 + -12 = -16
15 + 9z = -16 + 4z + 4z

Combine like terms: 4z + 4z = 8z
15 + 9z = -16 + 8z

Solving
15 + 9z = -16 + 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.
15 + 9z + -8z = -16 + 8z + -8z

Combine like terms: 9z + -8z = 1z
15 + 1z = -16 + 8z + -8z

Combine like terms: 8z + -8z = 0
15 + 1z = -16 + 0
15 + 1z = -16

Add '-15' to each side of the equation.
15 + -15 + 1z = -16 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = -16 + -15
1z = -16 + -15

Combine like terms: -16 + -15 = -31
1z = -31

Divide each side by '1'.
z = -31

Simplifying
z = -31