A cell-phone carrier is allocated 642 radio frequencies to operate in a city with a hexagon pattern cell design. 42 of the frequencies is reserved for control channel and each phone call uses 2 frequencies per call (1 for transmitting and 1 for receiving). In an advance mobile phone service, use the frequencies distribution to answer the following question. If a pattern of cells has a reuse factor of 12, calculate the number of frequencies per cell for just receiving calls.

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