To simplify the expression \( \frac{2}{3}m + 5 - \frac{2}{3}m \), we can combine like terms.
The \( \frac{2}{3}m \) and \( -\frac{2}{3}m \) cancel each other out:
\[ \frac{2}{3}m - \frac{2}{3}m = 0 \]
So, the expression simplifies to:
\[ 0 + 5 = 5 \]
Therefore, the simplified result is \( 5 \).