Answer
$8p+16q+24$
Work Step by Step
The Distributive Property states that for any real numbers $a, b$, and $c$:
$$a(b+c)=ab+ac$$
Apply the Distributive Property to obtain:
$$\begin{align*}
4(2p+4q+6)&=4(2p)+4(4q)+4(6)\\
&=8p+16q+24
\end{align*}$$