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We give combinatorial proofs of several recent results due to Merca on thesum of different parts congruent to $r$ modulo $m$ in all partitions of $n$.The proofs make use of some well known involutions from the literature and somenew involutions introduced here.

Combinatorial proofs of theorems of Merca on the sum of different parts congruent to $r$ modulo $m$ in all partitions of $n$