27-2n=2(2n+1)-n

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Solution for 27-2n=2(2n+1)-n equation: 


Simplifying
27 + -2n = 2(2n + 1) + -1n

Reorder the terms:
27 + -2n = 2(1 + 2n) + -1n
27 + -2n = (1 * 2 + 2n * 2) + -1n
27 + -2n = (2 + 4n) + -1n

Combine like terms: 4n + -1n = 3n
27 + -2n = 2 + 3n

Solving
27 + -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.
27 + -2n + -3n = 2 + 3n + -3n

Combine like terms: -2n + -3n = -5n
27 + -5n = 2 + 3n + -3n

Combine like terms: 3n + -3n = 0
27 + -5n = 2 + 0
27 + -5n = 2

Add '-27' to each side of the equation.
27 + -27 + -5n = 2 + -27

Combine like terms: 27 + -27 = 0
0 + -5n = 2 + -27
-5n = 2 + -27

Combine like terms: 2 + -27 = -25
-5n = -25

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

Simplifying
n = 5

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