Distributing coins trouble

Algebra Level 2

There are four persons \(A,B,C,D\) and \(A\) has some coins.

\(A\) gave half of the coins to \(B\) and another 4 more coins.
\(B\) gave half of the coins to \(C\) and another 4 more coins.
\(C\) gave half of the coins to \(D\) and another 4 more coins.
Both \(B\) and \(D\) end up with same number of coins.

How many coins did \(A\) have originally?

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