Using the properties of equality, find the solution to the equation

To solve the equation

\[
\frac{2f}{5} - \frac{8}{5} + 2f = 8,
\]

we start by simplifying the left-hand side. First, we convert \(2f\) into a fraction with a denominator of \(5\):

\[
2f = \frac{10f}{5}.
\]

Now substituting this back into the equation gives us

\[
\frac{2f}{5} - \frac{8}{5} + \frac{10f}{5} = 8.
\]

Next, we can combine the terms on the left side which have a common denominator of \(5\):

\[
\frac{2f + 10f - 8}{5} = 8,
\]

which simplifies to

\[
\frac{12f - 8}{5} = 8.
\]

To eliminate the fraction, we multiply both sides of the equation by \(5\):

\[
12f - 8 = 40.
\]

Next, we want to isolate \(12f\) on one side. To do this, we add \(8\) to both sides:

\[
12f = 48.
\]

Finally, we divide both sides by \(12\) to solve for \(f\):

\[
f = \frac{48}{12} = 4.
\]

The solution to the equation is

\[
\boxed{4}.
\]

(Note: The given options were not used in finding the solution, as they were inconsistent with the derived answer \(f = 4\).)