6(n+7)+5n=199

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Solution for 6(n+7)+5n=199 equation:


Simplifying
6(n + 7) + 5n = 199

Reorder the terms:
6(7 + n) + 5n = 199
(7 * 6 + n * 6) + 5n = 199
(42 + 6n) + 5n = 199

Combine like terms: 6n + 5n = 11n
42 + 11n = 199

Solving
42 + 11n = 199

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 11n = 199 + -42

Combine like terms: 42 + -42 = 0
0 + 11n = 199 + -42
11n = 199 + -42

Combine like terms: 199 + -42 = 157
11n = 157

Divide each side by '11'.
n = 14.27272727

Simplifying
n = 14.27272727

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