4 \ + \ 8 \left( \frac{1}{4} \ + \ 2 \right)

We need to evaluate the expression step by step:

\begin{align*}
4 + 8\left(\frac{1}{4} + 2\right) &= 4 + 8\left(\frac{9}{4}\right) \quad \text{(adding 1/4 and 2)} \\
&= 4 + 8 \cdot \frac{9}{4} \quad \text{(multiplying 8 by} \frac{9}{4}\text{)} \\
&= 4 + 18 \\
&= \boxed{22}.
\end{align*}