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

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


Simplifying
8 + 2n = 2(2n + 1) + -1n

Reorder the terms:
8 + 2n = 2(1 + 2n) + -1n
8 + 2n = (1 * 2 + 2n * 2) + -1n
8 + 2n = (2 + 4n) + -1n

Combine like terms: 4n + -1n = 3n
8 + 2n = 2 + 3n

Solving
8 + 2n = 2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
8 + 2n + -3n = 2 + 3n + -3n

Combine like terms: 2n + -3n = -1n
8 + -1n = 2 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -1n = 2 + 0
8 + -1n = 2

Add '-8' to each side of the equation.
8 + -8 + -1n = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 2 + -8
-1n = 2 + -8

Combine like terms: 2 + -8 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6

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