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

Solution for 11(z+1)-3(z-4)=3(z-1)+4(z-2) equation:

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

Reorder the terms:
11(1 + z) + -3(z + -4) = 3(z + -1) + 4(z + -2)
(1 * 11 + z * 11) + -3(z + -4) = 3(z + -1) + 4(z + -2)
(11 + 11z) + -3(z + -4) = 3(z + -1) + 4(z + -2)

Reorder the terms:
11 + 11z + -3(-4 + z) = 3(z + -1) + 4(z + -2)
11 + 11z + (-4 * -3 + z * -3) = 3(z + -1) + 4(z + -2)
11 + 11z + (12 + -3z) = 3(z + -1) + 4(z + -2)

Reorder the terms:
11 + 12 + 11z + -3z = 3(z + -1) + 4(z + -2)

Combine like terms: 11 + 12 = 23
23 + 11z + -3z = 3(z + -1) + 4(z + -2)

Combine like terms: 11z + -3z = 8z
23 + 8z = 3(z + -1) + 4(z + -2)

Reorder the terms:
23 + 8z = 3(-1 + z) + 4(z + -2)
23 + 8z = (-1 * 3 + z * 3) + 4(z + -2)
23 + 8z = (-3 + 3z) + 4(z + -2)

Reorder the terms:
23 + 8z = -3 + 3z + 4(-2 + z)
23 + 8z = -3 + 3z + (-2 * 4 + z * 4)
23 + 8z = -3 + 3z + (-8 + 4z)

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

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

Combine like terms: 3z + 4z = 7z
23 + 8z = -11 + 7z

Solving
23 + 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.
23 + 8z + -7z = -11 + 7z + -7z

Combine like terms: 8z + -7z = 1z
23 + 1z = -11 + 7z + -7z

Combine like terms: 7z + -7z = 0
23 + 1z = -11 + 0
23 + 1z = -11

Add '-23' to each side of the equation.
23 + -23 + 1z = -11 + -23

Combine like terms: 23 + -23 = 0
0 + 1z = -11 + -23
1z = -11 + -23

Combine like terms: -11 + -23 = -34
1z = -34

Divide each side by '1'.
z = -34

Simplifying
z = -34