Sherry is playing the integer game and is given a chance to discard a

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Sherry is playing the integer game and is given a chance to discard a set of matching cards. Sherry determines that if she discards one set of cards her score will increase by 12. If she discards another set, then her score will decrease by eight. If her matching cards make up all six cards in her hand, what cards are in Sherry's hand? Are there any other possibilities?

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2,3,5,7,8,6

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