Cryptic crossword clue
3 + 6 = 9 One of them in the left hand side is equal to 0 according to a new head of department 7

The most common and most likely answer to this crossword clue is the 7 letter word OPERAND

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Buddy explains!

The straight part
We know that "3 + 6 = 9. One of them in the left hand side" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case 3 + 6 = 9. one of them in the left hand side = operand.
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 OPERAND mean?

OPERAND noun
  1. A quantity to which an operator is applied (in 3 - x, the operands of the subtraction operator are 3 and x).

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