The most common and most likely answer to this crossword clue is the 7 letter word DECRYPT
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Buddy explains!

The straight part
We know that "Work out" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case work out = decrypt.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does DECRYPT mean?
DECRYPT noun- A decoded communication.
- To convert (an encrypted or coded message) back into plain text.