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

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

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

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

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

Combine like terms: 36 + -4 = 32
32 + 12z = 4(z + -1) + 3(z + -4)

Reorder the terms:
32 + 12z = 4(-1 + z) + 3(z + -4)
32 + 12z = (-1 * 4 + z * 4) + 3(z + -4)
32 + 12z = (-4 + 4z) + 3(z + -4)

Reorder the terms:
32 + 12z = -4 + 4z + 3(-4 + z)
32 + 12z = -4 + 4z + (-4 * 3 + z * 3)
32 + 12z = -4 + 4z + (-12 + 3z)

Reorder the terms:
32 + 12z = -4 + -12 + 4z + 3z

Combine like terms: -4 + -12 = -16
32 + 12z = -16 + 4z + 3z

Combine like terms: 4z + 3z = 7z
32 + 12z = -16 + 7z

Solving
32 + 12z = -16 + 7z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-7z' to each side of the equation.
32 + 12z + -7z = -16 + 7z + -7z

Combine like terms: 12z + -7z = 5z
32 + 5z = -16 + 7z + -7z

Combine like terms: 7z + -7z = 0
32 + 5z = -16 + 0
32 + 5z = -16

Add '-32' to each side of the equation.
32 + -32 + 5z = -16 + -32

Combine like terms: 32 + -32 = 0
0 + 5z = -16 + -32
5z = -16 + -32

Combine like terms: -16 + -32 = -48
5z = -48

Divide each side by '5'.
z = -9.6

Simplifying
z = -9.6