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Request balancing is an important issue in P2P networks, as requests or accesses are typically not distributed evenly among the items. Some of the items may account for a large ratio of the overall requests, e.g., in case of extremely popular videos. In this paper, we present a combination of two approaches to overcome an uneven request distribution even if there is highly skewed traffic. These approaches, in combination with a new local routing scheme on the skewCCC network, are able to balance a skewCCC network by a factor of O(logN) faster than commonly used load balancing schemes.