Using the properties of equality, find the solution to the equation 2f5−85+2f=8.(1 point)

To solve the equation \( 2f5 - 85 + 2f = 8 \), let's first rewrite it cleanly and then isolate \( f \).

1. Combine like terms and simplify the equation:
\( 2f5 + 2f - 85 = 8 \)

2. First, let's isolate the terms involving \( f \):
\( 2f5 + 2f = 8 + 85 \)
\( 2f5 + 2f = 93 \)

Now, we need to solve for \( f \). However, the expression \( f5 \) seems confusing; it could be interpreted as \( 5f \) instead of \( f \times 5 \).

3. Assuming \( 2f5 \) means \( 2 \times 5f = 10f \):
Then simplifying gives:
\( 10f + 2f = 93 \)
\( 12f = 93 \)

4. Divide both sides by 12:
\( f = \frac{93}{12} \)

5. Simplifying \( \frac{93}{12} \):
Both 93 and 12 can be simplified by dividing by 3:
\( f = \frac{31}{4} \)

This can also be approximated as \( 7.75 \) or expressed as a decimal.

However, since none of the provided choices–4, 12, \( \frac{16}{6} \), or 83–match \( f = \frac{31}{4} \), you may need to check if any of the responses can be simplified further:

- \( \frac{16}{6} = \frac{8}{3} \) (also not matching)
- 4 and 12 are integers that do not match.
- 83 is not plausible.

None of the given options seem correct in this context. If you are looking for an exact match, you might want to clarify the original equation or the responses.

If you have an alternative format for your equation, or if \( f5 \) stands for something else, please let me know. Otherwise, the conclusion remains \( f = \frac{31}{4} \).