To simplify the expression \( m + 15 - \frac{2}{3}m \), we can combine the like terms involving \( m \).
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Combine \( m \) and \(-\frac{2}{3}m\):
\[ m - \frac{2}{3}m = \frac{3}{3}m - \frac{2}{3}m = \frac{1}{3}m \]
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Now add the constant \( 15 \):
\[ \frac{1}{3}m + 15 \]
So, the simplified expression is:
\[ \frac{1}{3}m + 15 \]