Step 1: This is the Hunsdiecker reaction, converting a carboxylic acid silver salt into an alkyl halide with one fewer carbon.
Step 2: Br2 reacts with the silver carboxylate to form an acyl hypobromite, releasing AgBr.
Step 3: The weak O-Br bond undergoes homolytic cleavage, generating a carboxyl radical and a bromine radical.
Step 4: The carboxyl radical rapidly loses CO2 by decarboxylation, giving an alkyl free radical.
Step 5: This radical abstracts bromine from another Br2, giving the product and continuing the chain.
\[\boxed{\text{Free radical intermediate}}\]