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

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

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

Reorder the terms:
12(4 + z) + -3(z + -1) = 4(z + -3) + 4(z + -2)
(4 * 12 + z * 12) + -3(z + -1) = 4(z + -3) + 4(z + -2)
(48 + 12z) + -3(z + -1) = 4(z + -3) + 4(z + -2)

Reorder the terms:
48 + 12z + -3(-1 + z) = 4(z + -3) + 4(z + -2)
48 + 12z + (-1 * -3 + z * -3) = 4(z + -3) + 4(z + -2)
48 + 12z + (3 + -3z) = 4(z + -3) + 4(z + -2)

Reorder the terms:
48 + 3 + 12z + -3z = 4(z + -3) + 4(z + -2)

Combine like terms: 48 + 3 = 51
51 + 12z + -3z = 4(z + -3) + 4(z + -2)

Combine like terms: 12z + -3z = 9z
51 + 9z = 4(z + -3) + 4(z + -2)

Reorder the terms:
51 + 9z = 4(-3 + z) + 4(z + -2)
51 + 9z = (-3 * 4 + z * 4) + 4(z + -2)
51 + 9z = (-12 + 4z) + 4(z + -2)

Reorder the terms:
51 + 9z = -12 + 4z + 4(-2 + z)
51 + 9z = -12 + 4z + (-2 * 4 + z * 4)
51 + 9z = -12 + 4z + (-8 + 4z)

Reorder the terms:
51 + 9z = -12 + -8 + 4z + 4z

Combine like terms: -12 + -8 = -20
51 + 9z = -20 + 4z + 4z

Combine like terms: 4z + 4z = 8z
51 + 9z = -20 + 8z

Solving
51 + 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.
51 + 9z + -8z = -20 + 8z + -8z

Combine like terms: 9z + -8z = 1z
51 + 1z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
51 + 1z = -20 + 0
51 + 1z = -20

Add '-51' to each side of the equation.
51 + -51 + 1z = -20 + -51

Combine like terms: 51 + -51 = 0
0 + 1z = -20 + -51
1z = -20 + -51

Combine like terms: -20 + -51 = -71
1z = -71

Divide each side by '1'.
z = -71

Simplifying
z = -71