Cancel \(n\).
\[\frac{n}{2}-3+\frac{5n}{6}=21\]
Simplify \(\frac{n}{2}-3+\frac{5n}{6}\) to \(\frac{4n}{3}-3\).
\[\frac{4n}{3}-3=21\]
Add \(3\) to both sides.
\[\frac{4n}{3}=21+3\]
Simplify \(21+3\) to \(24\).
\[\frac{4n}{3}=24\]
Multiply both sides by \(3\).
\[4n=24\times 3\]
Simplify \(24\times 3\) to \(72\).
\[4n=72\]
Divide both sides by \(4\).
\[n=\frac{72}{4}\]
Simplify \(\frac{72}{4}\) to \(18\).
\[n=18\]
n=18
