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 start by eliminating the fractions.

1. First, we can multiply every term by 5 to get rid of the denominators:
\[
5 \left(\frac{2f}{5}\right) - 5 \left(\frac{8}{5}\right) + 5(2f) = 5(8)
\]
This simplifies to:
\[
2f - 8 + 10f = 40
\]

2. Combine like terms:
\[
2f + 10f - 8 = 40
\]
\[
12f - 8 = 40
\]

3. Next, add 8 to both sides:
\[
12f - 8 + 8 = 40 + 8
\]
\[
12f = 48
\]

4. Finally, divide both sides by 12:
\[
f = \frac{48}{12} = 4
\]

Thus, the solution to the equation is \( f = 4 \).

The correct response is:
**4**