$$\frac{a^{2}+5a-14}{a^{2}-3a-18}\times\frac{a+3}{a-2}$$
$\frac{a+7}{a-6}$
$$\frac{\left(a^{2}+5a-14\right)\left(a+3\right)}{\left(a^{2}-3a-18\right)\left(a-2\right)}$$
$$\frac{\left(a-2\right)\left(a+3\right)\left(a+7\right)}{\left(a-6\right)\left(a-2\right)\left(a+3\right)}$$
$$\frac{a+7}{a-6}$$
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