Using the properties of equality, find the solution to the equation 2f5−85+2f=8 .(1 point) Responses 4 4 12 12 166 Start Fraction 16 over 6 End Fraction 83

To solve the equation \( 2f5 - 85 + 2f = 8 \), we can first clarify the equation a bit since it seems there might be a misunderstanding about the terms.

Let's assume \( f5 \) means \( 5f \) (as a coefficient of \( f \)). Thus, we can rewrite the equation as:

\[ 2(5f) - 85 + 2f = 8 \]

Now, simplifying the left side gives us:

\[ 10f - 85 + 2f = 8 \]

Combining like terms, we have:

\[ (10f + 2f) - 85 = 8 \]

This simplifies to:

\[ 12f - 85 = 8 \]

Next, we add \( 85 \) to both sides to isolate the term with \( f \):

\[ 12f = 8 + 85 \]

This simplifies to:

\[ 12f = 93 \]

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

\[ f = \frac{93}{12} \]

This can be simplified. The greatest common divisor of \( 93 \) and \( 12 \) is \( 3 \):

\[ f = \frac{93 \div 3}{12 \div 3} = \frac{31}{4} \]

Thus, \( f = 7.75 \) or \( 7\frac{3}{4} \).

Since none of the other options in your responses seem to fit the value \( 7.75 \) or \( \frac{31}{4} \).

Could you clarify or check the options provided?