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

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

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

Reorder the terms:
12(3 + z) + -4(z + -3) = 3(z + -1) + 4(z + -2)
(3 * 12 + z * 12) + -4(z + -3) = 3(z + -1) + 4(z + -2)
(36 + 12z) + -4(z + -3) = 3(z + -1) + 4(z + -2)

Reorder the terms:
36 + 12z + -4(-3 + z) = 3(z + -1) + 4(z + -2)
36 + 12z + (-3 * -4 + z * -4) = 3(z + -1) + 4(z + -2)
36 + 12z + (12 + -4z) = 3(z + -1) + 4(z + -2)

Reorder the terms:
36 + 12 + 12z + -4z = 3(z + -1) + 4(z + -2)

Combine like terms: 36 + 12 = 48
48 + 12z + -4z = 3(z + -1) + 4(z + -2)

Combine like terms: 12z + -4z = 8z
48 + 8z = 3(z + -1) + 4(z + -2)

Reorder the terms:
48 + 8z = 3(-1 + z) + 4(z + -2)
48 + 8z = (-1 * 3 + z * 3) + 4(z + -2)
48 + 8z = (-3 + 3z) + 4(z + -2)

Reorder the terms:
48 + 8z = -3 + 3z + 4(-2 + z)
48 + 8z = -3 + 3z + (-2 * 4 + z * 4)
48 + 8z = -3 + 3z + (-8 + 4z)

Reorder the terms:
48 + 8z = -3 + -8 + 3z + 4z

Combine like terms: -3 + -8 = -11
48 + 8z = -11 + 3z + 4z

Combine like terms: 3z + 4z = 7z
48 + 8z = -11 + 7z

Solving
48 + 8z = -11 + 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.
48 + 8z + -7z = -11 + 7z + -7z

Combine like terms: 8z + -7z = 1z
48 + 1z = -11 + 7z + -7z

Combine like terms: 7z + -7z = 0
48 + 1z = -11 + 0
48 + 1z = -11

Add '-48' to each side of the equation.
48 + -48 + 1z = -11 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = -11 + -48
1z = -11 + -48

Combine like terms: -11 + -48 = -59
1z = -59

Divide each side by '1'.
z = -59

Simplifying
z = -59