To solve the equation \( 2f5 - 85 + 2f = 8 \), let's first clarify our equation. It seems there may be a typo in "f5" – assuming it’s meant to be just a variable \( f \). Let's rewrite the equation as:
\[ 2f - 85 + 2f = 8 \]
Now, combine like terms:
\[ 4f - 85 = 8 \]
Now, isolate \( f \) by adding 85 to both sides:
\[ 4f = 8 + 85 \]
\[ 4f = 93 \]
Next, divide both sides by 4 to solve for \( f \):
\[ f = \frac{93}{4} \]
Now, we can check if any of the options correspond to this fraction:
93 divided by 4 gives:
\[ 93 \div 4 = 23.25 \]
Therefore, since the options you provided were:
- \( \frac{16}{6} \)
- \( 4 \)
- \( 12 \)
- \( \frac{8}{3} \)
None of these options are equal to \( \frac{93}{4} \).
However, if the original function in your equation was different, please clarify, so I can help more accurately! As it stands, the solution \( f = \frac{93}{4} \) does not match the options you provided.
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