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

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


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

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

Reorder the terms:
22 + 11z + -2(-4 + z) = 4(z + -1) + 4(z + -2)
22 + 11z + (-4 * -2 + z * -2) = 4(z + -1) + 4(z + -2)
22 + 11z + (8 + -2z) = 4(z + -1) + 4(z + -2)

Reorder the terms:
22 + 8 + 11z + -2z = 4(z + -1) + 4(z + -2)

Combine like terms: 22 + 8 = 30
30 + 11z + -2z = 4(z + -1) + 4(z + -2)

Combine like terms: 11z + -2z = 9z
30 + 9z = 4(z + -1) + 4(z + -2)

Reorder the terms:
30 + 9z = 4(-1 + z) + 4(z + -2)
30 + 9z = (-1 * 4 + z * 4) + 4(z + -2)
30 + 9z = (-4 + 4z) + 4(z + -2)

Reorder the terms:
30 + 9z = -4 + 4z + 4(-2 + z)
30 + 9z = -4 + 4z + (-2 * 4 + z * 4)
30 + 9z = -4 + 4z + (-8 + 4z)

Reorder the terms:
30 + 9z = -4 + -8 + 4z + 4z

Combine like terms: -4 + -8 = -12
30 + 9z = -12 + 4z + 4z

Combine like terms: 4z + 4z = 8z
30 + 9z = -12 + 8z

Solving
30 + 9z = -12 + 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.
30 + 9z + -8z = -12 + 8z + -8z

Combine like terms: 9z + -8z = 1z
30 + 1z = -12 + 8z + -8z

Combine like terms: 8z + -8z = 0
30 + 1z = -12 + 0
30 + 1z = -12

Add '-30' to each side of the equation.
30 + -30 + 1z = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 1z = -12 + -30
1z = -12 + -30

Combine like terms: -12 + -30 = -42
1z = -42

Divide each side by '1'.
z = -42

Simplifying
z = -42

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