To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), we'll follow these steps.
1. **Combine like terms**: We can rewrite \( 2f \) as \( \frac{10f}{5} \) so we can combine it with \( \frac{2f}{5} \):
\[
\frac{2f}{5} + \frac{10f}{5} = \frac{12f}{5}
\]
Thus, the equation becomes:
\[
\frac{12f}{5} - \frac{8}{5} = 8
\]
2. **Eliminate fractions**: Multiply through by \( 5 \) to eliminate the denominators:
\[
12f - 8 = 40
\]
3. **Add 8 to both sides** to isolate the term with \( f \):
\[
12f = 48
\]
4. **Divide both sides by 12** to solve for \( f \):
\[
f = 4
\]
So, the solution to the equation is:
\[
f = 4
\]
If you meant to check against the numeric points provided (12, 8/3; 16/6), please clarify further. The solution based on solving the equation is purely \( f = 4 \).