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**: First, let's write \( 2f \) in terms of fractions with a common denominator. The common denominator here is 5.

We can express \( 2f \) as \( \frac{10f}{5} \) (since \( 2f = \frac{10f}{5} \)).

Now we can rewrite the equation:

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

2. **Combine the fractions on the left side**:

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

This simplifies to:

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

3. **Clear the fraction**: Multiply both sides by 5 to eliminate the fraction:

\[
12f - 8 = 40
\]

4. **Add 8 to both sides**:

\[
12f = 48
\]

5. **Divide both sides by 12**:

\[
f = 4
\]

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

The correct response is **4**.