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

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


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

Reorder the terms:
11(3 + z) + -2(z + -4) = 4(z + -4) + 4(z + -2)
(3 * 11 + z * 11) + -2(z + -4) = 4(z + -4) + 4(z + -2)
(33 + 11z) + -2(z + -4) = 4(z + -4) + 4(z + -2)

Reorder the terms:
33 + 11z + -2(-4 + z) = 4(z + -4) + 4(z + -2)
33 + 11z + (-4 * -2 + z * -2) = 4(z + -4) + 4(z + -2)
33 + 11z + (8 + -2z) = 4(z + -4) + 4(z + -2)

Reorder the terms:
33 + 8 + 11z + -2z = 4(z + -4) + 4(z + -2)

Combine like terms: 33 + 8 = 41
41 + 11z + -2z = 4(z + -4) + 4(z + -2)

Combine like terms: 11z + -2z = 9z
41 + 9z = 4(z + -4) + 4(z + -2)

Reorder the terms:
41 + 9z = 4(-4 + z) + 4(z + -2)
41 + 9z = (-4 * 4 + z * 4) + 4(z + -2)
41 + 9z = (-16 + 4z) + 4(z + -2)

Reorder the terms:
41 + 9z = -16 + 4z + 4(-2 + z)
41 + 9z = -16 + 4z + (-2 * 4 + z * 4)
41 + 9z = -16 + 4z + (-8 + 4z)

Reorder the terms:
41 + 9z = -16 + -8 + 4z + 4z

Combine like terms: -16 + -8 = -24
41 + 9z = -24 + 4z + 4z

Combine like terms: 4z + 4z = 8z
41 + 9z = -24 + 8z

Solving
41 + 9z = -24 + 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.
41 + 9z + -8z = -24 + 8z + -8z

Combine like terms: 9z + -8z = 1z
41 + 1z = -24 + 8z + -8z

Combine like terms: 8z + -8z = 0
41 + 1z = -24 + 0
41 + 1z = -24

Add '-41' to each side of the equation.
41 + -41 + 1z = -24 + -41

Combine like terms: 41 + -41 = 0
0 + 1z = -24 + -41
1z = -24 + -41

Combine like terms: -24 + -41 = -65
1z = -65

Divide each side by '1'.
z = -65

Simplifying
z = -65

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