5n=2(8n+10)

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Solution for 5n=2(8n+10) equation: 


Simplifying
5n = 2(8n + 10)

Reorder the terms:
5n = 2(10 + 8n)
5n = (10 * 2 + 8n * 2)
5n = (20 + 16n)

Solving
5n = 20 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
5n + -16n = 20 + 16n + -16n

Combine like terms: 5n + -16n = -11n
-11n = 20 + 16n + -16n

Combine like terms: 16n + -16n = 0
-11n = 20 + 0
-11n = 20

Divide each side by '-11'.
n = -1.818181818

Simplifying
n = -1.818181818

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