(5n+9)+n=75

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Solution for (5n+9)+n=75 equation:


Simplifying
(5n + 9) + n = 75

Reorder the terms:
(9 + 5n) + n = 75

Remove parenthesis around (9 + 5n)
9 + 5n + n = 75

Combine like terms: 5n + n = 6n
9 + 6n = 75

Solving
9 + 6n = 75

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 6n = 75 + -9

Combine like terms: 9 + -9 = 0
0 + 6n = 75 + -9
6n = 75 + -9

Combine like terms: 75 + -9 = 66
6n = 66

Divide each side by '6'.
n = 11

Simplifying
n = 11

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