Solving Step-by-Step: Computation in 35 - (82 - 39 ÷ (3 × 2))

To solve this problem, we'll follow these steps:

• Step 1: Evaluate the expression inside the parentheses, focusing first on multiplication.
• Step 2: Perform the division inside the parentheses.
• Step 3: Simplify the expression by completing the subtraction inside the parentheses.
• Step 4: Subtract the result from 35.

Now, let's work through each step:

Step 1: Evaluate the multiplication inside the parentheses.
The expression is $3 \cdot 2$, which equals $6$.

Step 2: Perform the division inside the parentheses.
Substitute the result into $39 : 6$, which is $39 \div 6 = 6.5$.

Step 3: Simplify the expression inside the parentheses by performing the subtraction.
The expression becomes $82 - 6.5 = 75.5$.

Step 4: Subtract the result from 35.
Hence, $35 - 75.5 = -40.5$.

Therefore, the solution to the problem is $-40.5$, which corresponds to the first choice given in the possible answers as $-40\frac{1}{2}$.