Clear history

I didn't understand the answer. Can you specify in more detail?

A/R (or A/P) Periodic Processing

Clear History

Also, documents must have a zero balance or they won't clear.

Thank you!

Posted documents cannot be with zero balance. 

Yes they can.  You have to pay them off.

I created an invoice and paid it.

But Sage 300 doesn't allow removing it.

How to remove it?

They need to have a zero balance or they won't clear.  And, they're never cleared from the original batch list, only the posted documents are cleared.

How this invoice I presented to make with the zero balance?

With an adjustment or a receipt

I did it. I paid an invoice via a payment.
After that, the invoice is paid.

The invoice will never disappear from the batch list.  Do you understand?