Clearing Zero Vendor Balances

We have two vendors where we were had a debit balance. We created an invoice to write off the balance so the account now has a zero balance. The vendor has gone out of business.

We did a payment run, hoping that the Invoices and debits would offset each other and no longer show that these items were open.

Because  payments are done via ACH, and the payment amount would have been Zero, it did not clear out the open documents.

What would the process be to clear out the open invoices/debits so they no longer appear on our aging report, and other reports showing open invoices/debits.