5n=2(n+6)

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Solution for 5n=2(n+6) equation: 


Simplifying
5n = 2(n + 6)

Reorder the terms:
5n = 2(6 + n)
5n = (6 * 2 + n * 2)
5n = (12 + 2n)

Solving
5n = 12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
5n + -2n = 12 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
3n = 12 + 0
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4

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