To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), we can follow these steps:
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Combine like terms: Start by expressing \( 2f \) with a common denominator of 5. We can do this by rewriting \( 2f \) as \( \frac{10f}{5} \):
\[ \frac{2f}{5} - \frac{8}{5} + \frac{10f}{5} = 8 \]
Now combine the terms:
\[ \frac{2f + 10f - 8}{5} = 8 \]
This simplifies to:
\[ \frac{12f - 8}{5} = 8 \]
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Eliminate the fraction: Multiply both sides by 5 to eliminate the denominator:
\[ 12f - 8 = 40 \]
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Isolate the term with \( f \): Add 8 to both sides:
\[ 12f = 48 \]
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Solve for \( f \): Divide both sides by 12:
\[ f = 4 \]
So the solution to the equation is:
\[ \boxed{4} \]