3(4-2n)-8(2+2n)=40

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Solution for 3(4-2n)-8(2+2n)=40 equation: 


Simplifying
3(4 + -2n) + -8(2 + 2n) = 40
(4 * 3 + -2n * 3) + -8(2 + 2n) = 40
(12 + -6n) + -8(2 + 2n) = 40
12 + -6n + (2 * -8 + 2n * -8) = 40
12 + -6n + (-16 + -16n) = 40

Reorder the terms:
12 + -16 + -6n + -16n = 40

Combine like terms: 12 + -16 = -4
-4 + -6n + -16n = 40

Combine like terms: -6n + -16n = -22n
-4 + -22n = 40

Solving
-4 + -22n = 40

Solving for variable 'n'.

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

Add '4' to each side of the equation.
-4 + 4 + -22n = 40 + 4

Combine like terms: -4 + 4 = 0
0 + -22n = 40 + 4
-22n = 40 + 4

Combine like terms: 40 + 4 = 44
-22n = 44

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

Simplifying
n = -2

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