2(1+4n)-2n=-40-8n

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Solution for 2(1+4n)-2n=-40-8n equation: 


Simplifying
2(1 + 4n) + -2n = -40 + -8n
(1 * 2 + 4n * 2) + -2n = -40 + -8n
(2 + 8n) + -2n = -40 + -8n

Combine like terms: 8n + -2n = 6n
2 + 6n = -40 + -8n

Solving
2 + 6n = -40 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
2 + 6n + 8n = -40 + -8n + 8n

Combine like terms: 6n + 8n = 14n
2 + 14n = -40 + -8n + 8n

Combine like terms: -8n + 8n = 0
2 + 14n = -40 + 0
2 + 14n = -40

Add '-2' to each side of the equation.
2 + -2 + 14n = -40 + -2

Combine like terms: 2 + -2 = 0
0 + 14n = -40 + -2
14n = -40 + -2

Combine like terms: -40 + -2 = -42
14n = -42

Divide each side by '14'.
n = -3

Simplifying
n = -3

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