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Step 1:I'll solve this temperature conversion problem step by step using the precise LaTeX formatting guidelines you specified.
Step 2:: Recall the temperature conversion formula
C = \frac{5}{9}(F - 32)
Step 3:: Substitute the given temperature
C = \frac{5}{9}(82 - 32)
Step 4:: Solve the subtraction inside the parentheses
C = \frac{5}{9}(50)
Step 5:: Multiply
C = \frac{5 \times 50}{9}
Step 6:: Calculate the final result
C = \frac{250}{9}
C = 27.78
Final Answer
82° Fahrenheit is equal to 27.8° Celsius (rounded to one decimal place).
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