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

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


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

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

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

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

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

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

Reorder the terms:
24 + 9z = 4(-2 + z) + 4(z + -2)
24 + 9z = (-2 * 4 + z * 4) + 4(z + -2)
24 + 9z = (-8 + 4z) + 4(z + -2)

Reorder the terms:
24 + 9z = -8 + 4z + 4(-2 + z)
24 + 9z = -8 + 4z + (-2 * 4 + z * 4)
24 + 9z = -8 + 4z + (-8 + 4z)

Reorder the terms:
24 + 9z = -8 + -8 + 4z + 4z

Combine like terms: -8 + -8 = -16
24 + 9z = -16 + 4z + 4z

Combine like terms: 4z + 4z = 8z
24 + 9z = -16 + 8z

Solving
24 + 9z = -16 + 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 = -16 + 8z + -8z

Combine like terms: 9z + -8z = 1z
24 + 1z = -16 + 8z + -8z

Combine like terms: 8z + -8z = 0
24 + 1z = -16 + 0
24 + 1z = -16

Add '-24' to each side of the equation.
24 + -24 + 1z = -16 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = -16 + -24
1z = -16 + -24

Combine like terms: -16 + -24 = -40
1z = -40

Divide each side by '1'.
z = -40

Simplifying
z = -40

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