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I think about it like a styrofoam cup being the calorimeter. If there is a chemical reaction within the styrofoam cup, then the styrofoam will absorb the heat from that reaction therefore, the amount of q absorbed by the calorimeter(styrofoam) is the q given off by the reaction.
It might also be helpful to think that the heat of a system plus the heat of its surroundings has to be equal to 0. So, if you have an exothermic reaction that released -X amount of heat, the surroundings gained +X amount of heat in order for the addition of both to be 0.
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