Answer
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Step 1:I'll solve this temperature conversion problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Recall the formula for converting Fahrenheit to Celsius
T_{C} = \frac{5}{9}(T_{F} - 32)
The conversion formula is:
Step 3:: Substitute the given temperature
T_{C} = \frac{5}{9}(-31 - 32)
Step 4:: Simplify inside the parentheses
T_{C} = \frac{5}{9}(-63)
Step 5:: Multiply
T_{C} = \frac{5 \times (-63)}{9}
Step 6:: Calculate the final result
T_{C} = \frac{-315}{9}
T_{C} = - 35
Final Answer
Key Insights: - The conversion involves subtracting 32 from the Fahrenheit temperature - Multiply by \frac{5}{9} to complete the conversion - Negative temperatures convert directly using the same formula
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