\[2p - \frac{14p^{2}}{7p + 3} = \frac{2p(7p + 3) - 14p^{2}}{7p + 3} =\]
\[= \frac{14p^{2} + 6p - 14p^{2}}{7p + 3} = \frac{6p}{7p + 3}\]