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

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

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

Reorder the terms:
11(2 + z) + -2(z + -1) = 4(z + -4) + 4(z + -4)
(2 * 11 + z * 11) + -2(z + -1) = 4(z + -4) + 4(z + -4)
(22 + 11z) + -2(z + -1) = 4(z + -4) + 4(z + -4)

Reorder the terms:
22 + 11z + -2(-1 + z) = 4(z + -4) + 4(z + -4)
22 + 11z + (-1 * -2 + z * -2) = 4(z + -4) + 4(z + -4)
22 + 11z + (2 + -2z) = 4(z + -4) + 4(z + -4)

Reorder the terms:
22 + 2 + 11z + -2z = 4(z + -4) + 4(z + -4)

Combine like terms: 22 + 2 = 24
24 + 11z + -2z = 4(z + -4) + 4(z + -4)

Combine like terms: 11z + -2z = 9z
24 + 9z = 4(z + -4) + 4(z + -4)

Reorder the terms:
24 + 9z = 4(-4 + z) + 4(z + -4)
24 + 9z = (-4 * 4 + z * 4) + 4(z + -4)
24 + 9z = (-16 + 4z) + 4(z + -4)

Reorder the terms:
24 + 9z = -16 + 4z + 4(-4 + z)
24 + 9z = -16 + 4z + (-4 * 4 + z * 4)
24 + 9z = -16 + 4z + (-16 + 4z)

Reorder the terms:
24 + 9z = -16 + -16 + 4z + 4z

Combine like terms: -16 + -16 = -32
24 + 9z = -32 + 4z + 4z

Combine like terms: 4z + 4z = 8z
24 + 9z = -32 + 8z

Solving
24 + 9z = -32 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
24 + 9z + -8z = -32 + 8z + -8z

Combine like terms: 9z + -8z = 1z
24 + 1z = -32 + 8z + -8z

Combine like terms: 8z + -8z = 0
24 + 1z = -32 + 0
24 + 1z = -32

Add '-24' to each side of the equation.
24 + -24 + 1z = -32 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = -32 + -24
1z = -32 + -24

Combine like terms: -32 + -24 = -56
1z = -56

Divide each side by '1'.
z = -56

Simplifying
z = -56