11(z+3)-3(z-2)=4(z-4)+3(z-2)

Solution for 11(z+3)-3(z-2)=4(z-4)+3(z-2) equation:

Simplifying
11(z + 3) + -3(z + -2) = 4(z + -4) + 3(z + -2)

Reorder the terms:
11(3 + z) + -3(z + -2) = 4(z + -4) + 3(z + -2)
(3 * 11 + z * 11) + -3(z + -2) = 4(z + -4) + 3(z + -2)
(33 + 11z) + -3(z + -2) = 4(z + -4) + 3(z + -2)

Reorder the terms:
33 + 11z + -3(-2 + z) = 4(z + -4) + 3(z + -2)
33 + 11z + (-2 * -3 + z * -3) = 4(z + -4) + 3(z + -2)
33 + 11z + (6 + -3z) = 4(z + -4) + 3(z + -2)

Reorder the terms:
33 + 6 + 11z + -3z = 4(z + -4) + 3(z + -2)

Combine like terms: 33 + 6 = 39
39 + 11z + -3z = 4(z + -4) + 3(z + -2)

Combine like terms: 11z + -3z = 8z
39 + 8z = 4(z + -4) + 3(z + -2)

Reorder the terms:
39 + 8z = 4(-4 + z) + 3(z + -2)
39 + 8z = (-4 * 4 + z * 4) + 3(z + -2)
39 + 8z = (-16 + 4z) + 3(z + -2)

Reorder the terms:
39 + 8z = -16 + 4z + 3(-2 + z)
39 + 8z = -16 + 4z + (-2 * 3 + z * 3)
39 + 8z = -16 + 4z + (-6 + 3z)

Reorder the terms:
39 + 8z = -16 + -6 + 4z + 3z

Combine like terms: -16 + -6 = -22
39 + 8z = -22 + 4z + 3z

Combine like terms: 4z + 3z = 7z
39 + 8z = -22 + 7z

Solving
39 + 8z = -22 + 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.
39 + 8z + -7z = -22 + 7z + -7z

Combine like terms: 8z + -7z = 1z
39 + 1z = -22 + 7z + -7z

Combine like terms: 7z + -7z = 0
39 + 1z = -22 + 0
39 + 1z = -22

Add '-39' to each side of the equation.
39 + -39 + 1z = -22 + -39

Combine like terms: 39 + -39 = 0
0 + 1z = -22 + -39
1z = -22 + -39

Combine like terms: -22 + -39 = -61
1z = -61

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

Simplifying
z = -61