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

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

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

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

Reorder the terms:
36 + 12z + -3(-3 + z) = 4(z + -3) + 4(z + -1)
36 + 12z + (-3 * -3 + z * -3) = 4(z + -3) + 4(z + -1)
36 + 12z + (9 + -3z) = 4(z + -3) + 4(z + -1)

Reorder the terms:
36 + 9 + 12z + -3z = 4(z + -3) + 4(z + -1)

Combine like terms: 36 + 9 = 45
45 + 12z + -3z = 4(z + -3) + 4(z + -1)

Combine like terms: 12z + -3z = 9z
45 + 9z = 4(z + -3) + 4(z + -1)

Reorder the terms:
45 + 9z = 4(-3 + z) + 4(z + -1)
45 + 9z = (-3 * 4 + z * 4) + 4(z + -1)
45 + 9z = (-12 + 4z) + 4(z + -1)

Reorder the terms:
45 + 9z = -12 + 4z + 4(-1 + z)
45 + 9z = -12 + 4z + (-1 * 4 + z * 4)
45 + 9z = -12 + 4z + (-4 + 4z)

Reorder the terms:
45 + 9z = -12 + -4 + 4z + 4z

Combine like terms: -12 + -4 = -16
45 + 9z = -16 + 4z + 4z

Combine like terms: 4z + 4z = 8z
45 + 9z = -16 + 8z

Solving
45 + 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.
45 + 9z + -8z = -16 + 8z + -8z

Combine like terms: 9z + -8z = 1z
45 + 1z = -16 + 8z + -8z

Combine like terms: 8z + -8z = 0
45 + 1z = -16 + 0
45 + 1z = -16

Add '-45' to each side of the equation.
45 + -45 + 1z = -16 + -45

Combine like terms: 45 + -45 = 0
0 + 1z = -16 + -45
1z = -16 + -45

Combine like terms: -16 + -45 = -61
1z = -61

Divide each side by '1'.
z = -61

Simplifying
z = -61