(2n+n)=5n-12-n

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Solution for (2n+n)=5n-12-n equation:


Simplifying
(2n + n) = 5n + -12 + -1n

Combine like terms: 2n + n = 3n
(3n) = 5n + -12 + -1n
(3n) = 5n + -12 + -1n

Reorder the terms:
(3n) = -12 + 5n + -1n

Combine like terms: 5n + -1n = 4n
(3n) = -12 + 4n

Solving
(3n) = -12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
(3n) + -4n = -12 + 4n + -4n

Combine like terms: (3n) + -4n = -1n
-1n = -12 + 4n + -4n

Combine like terms: 4n + -4n = 0
-1n = -12 + 0
-1n = -12

Divide each side by '-1'.
n = 12

Simplifying
n = 12

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