Final answer:
The return of merchandise to the supplier decreases total liabilities, because the accounts payable associated with the purchase of the merchandise is reduced.
Step-by-step explanation:
The return of merchandise to the supplier will affect the accounting equation by decreasing total liabilities. When the company returns merchandise, the accounts payable (a liability) associated with the purchase decreases because the company now owes less to the supplier for the items returned. The merchandise, an asset when held in inventory, is no longer part of the company's assets since it is returned. However, because the transaction is a return, and not a sale, this does not affect the cash or revenue numbers, and hence there is no impact on the assets. Instead, the total liabilities decrease by the amount of merchandise returned.