To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), we will first combine like terms and isolate \( f \).
1. Rewrite \( 2f \) in terms of fifths to combine it with \( \frac{2f}{5} \):
\[
2f = \frac{10f}{5}
\]
Substituting this into the equation gives:
\[
\frac{2f}{5} - \frac{8}{5} + \frac{10f}{5} = 8
\]
2. Combine the terms with \( f \):
\[
\frac{2f + 10f}{5} - \frac{8}{5} = 8
\]
This simplifies to:
\[
\frac{12f}{5} - \frac{8}{5} = 8
\]
3. To eliminate the fractions, multiply the entire equation by \( 5 \):
\[
5 \left( \frac{12f}{5} \right) - 5 \left( \frac{8}{5} \right) = 5 \times 8
\]
Simplifying this yields:
\[
12f - 8 = 40
\]
4. Now isolate \( 12f \) by adding \( 8 \) to both sides:
\[
12f = 40 + 8
\]
\[
12f = 48
\]
5. Finally, solve for \( f \) by dividing both sides by \( 12 \):
\[
f = \frac{48}{12} = 4
\]
The solution is \( f = 4 \).
So the answer is **A) 4**.