To solve the equation \(34 = n - 2.5\), you need to isolate \(n\). To do this, you should add \(2.5\) to both sides of the equation.
Here's the operation:
\[ 34 + 2.5 = n - 2.5 + 2.5 \]
This simplifies to:
\[ 36.5 = n \]
So the operation needed is addition of \(2.5\) to both sides of the equation.