Inspired from: Problem 2 : Basic Operations by Ahaan Rungta

Discrete Mathematics Level pending

A real number is given. In each move, we can either add \(7\) to it, subtract \(7\) to it, multiply it by \(7\) and divide it by \(7\). The sum of all numbers such that after exactly \(7\) moves, the original number comes back is \(a\). Find \([ a ]\).

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