6n-3(n+6)=9

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Solution for 6n-3(n+6)=9 equation:


Simplifying
6n + -3(n + 6) = 9

Reorder the terms:
6n + -3(6 + n) = 9
6n + (6 * -3 + n * -3) = 9
6n + (-18 + -3n) = 9

Reorder the terms:
-18 + 6n + -3n = 9

Combine like terms: 6n + -3n = 3n
-18 + 3n = 9

Solving
-18 + 3n = 9

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 3n = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 3n = 9 + 18
3n = 9 + 18

Combine like terms: 9 + 18 = 27
3n = 27

Divide each side by '3'.
n = 9

Simplifying
n = 9

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