I am reading a paper in analytic number theory. I'm stuck on a line. The author did this which I don't understand. $$\sum_{\substack{q | P \\ v(q) = \gamma}} |\mu(q)|(\frac{x}{hq} + 1) \ll \frac{x}{h}\frac{1}{\gamma!}(\sum_{p | P} \frac{1}{p})^{\gamma} $$
where $\mu(n)$ is the Möbius function, P is a squarefree integer, $v(n)$ is the number of distinct prime factors of $n$, and $p$ is prime.