Using the properties of equality, find the solution to the equation 2f/5−8/5+2f=8 .(1 point)

To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), we can follow these steps:

1. **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:

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

2. **Eliminate the fraction**:
Multiply both sides by 5 to eliminate the denominator:

\[
12f - 8 = 40
\]

3. **Isolate the term with \( f \)**:
Add 8 to both sides:

\[
12f = 48
\]

4. **Solve for \( f \)**:
Divide both sides by 12:

\[
f = 4
\]

So the solution to the equation is:

\[
\boxed{4}
\]