There is one word in the English language. (very hard question)?

[Ricky]

There is one word in the english language that means. and here is the description,,,,,,,person A owes person B -$10, but person B owes person A-$20, person B was owed the $10 first, person A wants give person B $10 and call it square,which if you were friends would be fine but person B says you give me back the $20 and i will give you back the $10. this action is normal procceedings in buisness where the invoices have to be keeped accountable and there is one word that means all of this, anyone know it.

I find it necessary to say due to the last time i asked this question, that if you dont understand the question and therefore dont know the answer do not leave me smart answers, i then have a habit of folllowing you and leaving measages that yahoo delete when its brought to there attention, i dont want to have to do this and you dont need it, you have been warned.
i might have this a little around the wrong way, it hard to get my head around at this time of night, but you get the idea, its not ,reconciliation, also i dont mean to have a "tone" im just sick of stupid answers, thanks dee dee for pointing this out.