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

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

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

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

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

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

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

Combine like terms: 11z + -4z = 7z
23 + 7z = 4(z + -1) + 2(z + -1)

Reorder the terms:
23 + 7z = 4(-1 + z) + 2(z + -1)
23 + 7z = (-1 * 4 + z * 4) + 2(z + -1)
23 + 7z = (-4 + 4z) + 2(z + -1)

Reorder the terms:
23 + 7z = -4 + 4z + 2(-1 + z)
23 + 7z = -4 + 4z + (-1 * 2 + z * 2)
23 + 7z = -4 + 4z + (-2 + 2z)

Reorder the terms:
23 + 7z = -4 + -2 + 4z + 2z

Combine like terms: -4 + -2 = -6
23 + 7z = -6 + 4z + 2z

Combine like terms: 4z + 2z = 6z
23 + 7z = -6 + 6z

Solving
23 + 7z = -6 + 6z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-6z' to each side of the equation.
23 + 7z + -6z = -6 + 6z + -6z

Combine like terms: 7z + -6z = 1z
23 + 1z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
23 + 1z = -6 + 0
23 + 1z = -6

Add '-23' to each side of the equation.
23 + -23 + 1z = -6 + -23

Combine like terms: 23 + -23 = 0
0 + 1z = -6 + -23
1z = -6 + -23

Combine like terms: -6 + -23 = -29
1z = -29

Divide each side by '1'.
z = -29

Simplifying
z = -29