71=9n-5(n-3)

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Solution for 71=9n-5(n-3) equation:


Simplifying
71 = 9n + -5(n + -3)

Reorder the terms:
71 = 9n + -5(-3 + n)
71 = 9n + (-3 * -5 + n * -5)
71 = 9n + (15 + -5n)

Reorder the terms:
71 = 15 + 9n + -5n

Combine like terms: 9n + -5n = 4n
71 = 15 + 4n

Solving
71 = 15 + 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.
71 + -4n = 15 + 4n + -4n

Combine like terms: 4n + -4n = 0
71 + -4n = 15 + 0
71 + -4n = 15

Add '-71' to each side of the equation.
71 + -71 + -4n = 15 + -71

Combine like terms: 71 + -71 = 0
0 + -4n = 15 + -71
-4n = 15 + -71

Combine like terms: 15 + -71 = -56
-4n = -56

Divide each side by '-4'.
n = 14

Simplifying
n = 14

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