A bag contains (2n+1) coins. It is known...

A bag contains `(2n+1)` coins. It is known that `n` of these coins have a head on both sides whereas the rest of the coins are fair. A coin is picked up at random from the bag and is tossed. If the probability that the toss results in a head is `(31)/(42)` , determine the value of `n` .

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