Cows Mathematic question?

A farmer, died when left behind several cows, according to his posthumous :
1. Wife: half of all the cow plus half ;
2. Eldest son: the balance after wife took plus half cow;
3. Second son: the balance after eldest son took plus half cow;
4. Eldest daughter: the balance after second son took plus half cow;
The result is no cow has been killed, also has not cow extra or less.

The question is:
How many cows the farmer left behind when he died

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