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\frac{n-4+n+3}{6n^{2}+6n}
Since \frac{n-4}{6n^{2}+6n} and \frac{n+3}{6n^{2}+6n} have the same denominator, add them by adding their numerators.
\frac{2n-1}{6n^{2}+6n}
Combine like terms in n-4+n+3.
\frac{n-4+n+3}{6n^{2}+6n}
Since \frac{n-4}{6n^{2}+6n} and \frac{n+3}{6n^{2}+6n} have the same denominator, add them by adding their numerators.
\frac{2n-1}{6n^{2}+6n}
Combine like terms in n-4+n+3.