Let's solve the problem step by step.
The expression we need to evaluate is \([32 + 2 \times 17 + (-6)] \div 15\).
1. Calculate the value inside the brackets:
- First, we need to perform the multiplication within the brackets: \(2 \times 17 = 34\).
- Now, we substitute this back into the expression inside the brackets: \(32 + 34 + (-6)\).
- Next, we perform the addition and subtraction: \(32 + 34 = 66\) and then \(66 + (-6) = 60\).
So, the value inside the brackets is \(60\).
2. Divide the result by 15:
- Now we take the value inside the brackets, which is \(60\), and divide it by 15: \(60 \div 15 = 4\).
Therefore, the solution to the expression \([32+2 \times 17+(-6)] \div 15\) is \(4\).
Hence, the correct answer is:
(A) [tex]\(4\)[/tex].
