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To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), we'll start by eliminating the fractions to make the equation easier to handle.
1. First, let's multiply the entire equation by 5 to eliminate the denominators:
\[
5 \left( \frac{2f}{5} \right) - 5 \left( \frac{8}{5} \right) + 5 \cdot 2f = 5 \cdot 8
\]
This simplifies to:
\[
2f - 8 + 10f = 40
\]
2. Combine like terms:
\[
12f - 8 = 40
\]
3. Next, add 8 to both sides to isolate the term with \( f \):
\[
12f = 40 + 8
\]
\[
12f = 48
\]
4. Finally, divide both sides by 12 to solve for \( f \):
\[
f = \frac{48}{12}
\]
\[
f = 4
\]
So the solution is:
**C) 4**