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Several router-assisted layered multicast protocols have been proposed to solve some problems including instability, receiver synchronization and large IGMP leave latencies that traditional layered multicast schemes (e.g. RLM) suffer from. In this paper, we introduce NSLM, a novel equation-based network-supported layered multicast congestion control protocol that solves the previous problems and achieves TCP-friendly with TCP. We evaluate the design using simulation and the simulation results show that NSLM traffics work well in the heterogeneous network with TCP traffics.