To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), we can first eliminate the fractions by multiplying the entire equation by 5:
\[ 5\left(\frac{2f}{5}\right) - 5\left(\frac{8}{5}\right) + 5(2f) = 5(8) \]
This simplifies to:
\[ 2f - 8 + 10f = 40 \]
Now combine the like terms (\(2f\) and \(10f\)):
\[ 12f - 8 = 40 \]
Next, add 8 to both sides to isolate the term with \(f\):
\[ 12f = 48 \]
Now, divide both sides by 12:
\[ f = \frac{48}{12} = 4 \]
The solution is \( f = 4 \).
Thus, the correct response is 4.
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