$$n\frac{5x^{2}-3x}{9x}$$
$\frac{5nx}{9}-\frac{n}{3}$
$$n\times \frac{x\left(5x-3\right)}{9x}$$
$$n\times \frac{5x-3}{9}$$
$$\frac{n\left(5x-3\right)}{9}$$
$$\frac{5nx-3n}{9}$$
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