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

Solution for 11(z+1)-3(z-4)=4(z-4)+3(z-1) equation:

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

Reorder the terms:
11(1 + z) + -3(z + -4) = 4(z + -4) + 3(z + -1)
(1 * 11 + z * 11) + -3(z + -4) = 4(z + -4) + 3(z + -1)
(11 + 11z) + -3(z + -4) = 4(z + -4) + 3(z + -1)

Reorder the terms:
11 + 11z + -3(-4 + z) = 4(z + -4) + 3(z + -1)
11 + 11z + (-4 * -3 + z * -3) = 4(z + -4) + 3(z + -1)
11 + 11z + (12 + -3z) = 4(z + -4) + 3(z + -1)

Reorder the terms:
11 + 12 + 11z + -3z = 4(z + -4) + 3(z + -1)

Combine like terms: 11 + 12 = 23
23 + 11z + -3z = 4(z + -4) + 3(z + -1)

Combine like terms: 11z + -3z = 8z
23 + 8z = 4(z + -4) + 3(z + -1)

Reorder the terms:
23 + 8z = 4(-4 + z) + 3(z + -1)
23 + 8z = (-4 * 4 + z * 4) + 3(z + -1)
23 + 8z = (-16 + 4z) + 3(z + -1)

Reorder the terms:
23 + 8z = -16 + 4z + 3(-1 + z)
23 + 8z = -16 + 4z + (-1 * 3 + z * 3)
23 + 8z = -16 + 4z + (-3 + 3z)

Reorder the terms:
23 + 8z = -16 + -3 + 4z + 3z

Combine like terms: -16 + -3 = -19
23 + 8z = -19 + 4z + 3z

Combine like terms: 4z + 3z = 7z
23 + 8z = -19 + 7z

Solving
23 + 8z = -19 + 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.
23 + 8z + -7z = -19 + 7z + -7z

Combine like terms: 8z + -7z = 1z
23 + 1z = -19 + 7z + -7z

Combine like terms: 7z + -7z = 0
23 + 1z = -19 + 0
23 + 1z = -19

Add '-23' to each side of the equation.
23 + -23 + 1z = -19 + -23

Combine like terms: 23 + -23 = 0
0 + 1z = -19 + -23
1z = -19 + -23

Combine like terms: -19 + -23 = -42
1z = -42

Divide each side by '1'.
z = -42

Simplifying
z = -42