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

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

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

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

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

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

Combine like terms: 11 + 4 = 15
15 + 11z + -4z = 2(z + -1) + 4(z + -1)

Combine like terms: 11z + -4z = 7z
15 + 7z = 2(z + -1) + 4(z + -1)

Reorder the terms:
15 + 7z = 2(-1 + z) + 4(z + -1)
15 + 7z = (-1 * 2 + z * 2) + 4(z + -1)
15 + 7z = (-2 + 2z) + 4(z + -1)

Reorder the terms:
15 + 7z = -2 + 2z + 4(-1 + z)
15 + 7z = -2 + 2z + (-1 * 4 + z * 4)
15 + 7z = -2 + 2z + (-4 + 4z)

Reorder the terms:
15 + 7z = -2 + -4 + 2z + 4z

Combine like terms: -2 + -4 = -6
15 + 7z = -6 + 2z + 4z

Combine like terms: 2z + 4z = 6z
15 + 7z = -6 + 6z

Solving
15 + 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.
15 + 7z + -6z = -6 + 6z + -6z

Combine like terms: 7z + -6z = 1z
15 + 1z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
15 + 1z = -6 + 0
15 + 1z = -6

Add '-15' to each side of the equation.
15 + -15 + 1z = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = -6 + -15
1z = -6 + -15

Combine like terms: -6 + -15 = -21
1z = -21

Divide each side by '1'.
z = -21

Simplifying
z = -21