2n+4(n+10)=n

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Solution for 2n+4(n+10)=n equation:


Simplifying
2n + 4(n + 10) = n

Reorder the terms:
2n + 4(10 + n) = n
2n + (10 * 4 + n * 4) = n
2n + (40 + 4n) = n

Reorder the terms:
40 + 2n + 4n = n

Combine like terms: 2n + 4n = 6n
40 + 6n = n

Solving
40 + 6n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
40 + 6n + -1n = n + -1n

Combine like terms: 6n + -1n = 5n
40 + 5n = n + -1n

Combine like terms: n + -1n = 0
40 + 5n = 0

Add '-40' to each side of the equation.
40 + -40 + 5n = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 5n = 0 + -40
5n = 0 + -40

Combine like terms: 0 + -40 = -40
5n = -40

Divide each side by '5'.
n = -8

Simplifying
n = -8

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