4n+5(2n-1)=65

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Solution for 4n+5(2n-1)=65 equation:


Simplifying
4n + 5(2n + -1) = 65

Reorder the terms:
4n + 5(-1 + 2n) = 65
4n + (-1 * 5 + 2n * 5) = 65
4n + (-5 + 10n) = 65

Reorder the terms:
-5 + 4n + 10n = 65

Combine like terms: 4n + 10n = 14n
-5 + 14n = 65

Solving
-5 + 14n = 65

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 14n = 65 + 5

Combine like terms: -5 + 5 = 0
0 + 14n = 65 + 5
14n = 65 + 5

Combine like terms: 65 + 5 = 70
14n = 70

Divide each side by '14'.
n = 5

Simplifying
n = 5

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