This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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You're on a roll — Step 1: Set up the equation based on the given information. Let be the initial temperature of the liquid. The liquid was first cooled by , so its temperature became . Then, its temperature was increased by , so it became . The final temperature is given as .
Step 2: Formulate the equation and solve for .
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You're on a roll — Step 1: Set up the equation based on the given information. Let T_i be the initial temperature of the liquid.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.