84=6n+5(n+8)

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Solution for 84=6n+5(n+8) equation:


Simplifying
84 = 6n + 5(n + 8)

Reorder the terms:
84 = 6n + 5(8 + n)
84 = 6n + (8 * 5 + n * 5)
84 = 6n + (40 + 5n)

Reorder the terms:
84 = 40 + 6n + 5n

Combine like terms: 6n + 5n = 11n
84 = 40 + 11n

Solving
84 = 40 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
84 + -11n = 40 + 11n + -11n

Combine like terms: 11n + -11n = 0
84 + -11n = 40 + 0
84 + -11n = 40

Add '-84' to each side of the equation.
84 + -84 + -11n = 40 + -84

Combine like terms: 84 + -84 = 0
0 + -11n = 40 + -84
-11n = 40 + -84

Combine like terms: 40 + -84 = -44
-11n = -44

Divide each side by '-11'.
n = 4

Simplifying
n = 4

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