4(2-8n)+5(2n+5)=-11

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Solution for 4(2-8n)+5(2n+5)=-11 equation: 


Simplifying
4(2 + -8n) + 5(2n + 5) = -11
(2 * 4 + -8n * 4) + 5(2n + 5) = -11
(8 + -32n) + 5(2n + 5) = -11

Reorder the terms:
8 + -32n + 5(5 + 2n) = -11
8 + -32n + (5 * 5 + 2n * 5) = -11
8 + -32n + (25 + 10n) = -11

Reorder the terms:
8 + 25 + -32n + 10n = -11

Combine like terms: 8 + 25 = 33
33 + -32n + 10n = -11

Combine like terms: -32n + 10n = -22n
33 + -22n = -11

Solving
33 + -22n = -11

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + -22n = -11 + -33

Combine like terms: 33 + -33 = 0
0 + -22n = -11 + -33
-22n = -11 + -33

Combine like terms: -11 + -33 = -44
-22n = -44

Divide each side by '-22'.
n = 2

Simplifying
n = 2

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