32+(96-64):(8•2)

To solve the expression \( 32 + (96 - 64) : (8 \cdot 2) \), we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and then addition and subtraction (from left to right).

1. Start with the expression inside the parentheses: \[ 96 - 64 = 32 \]

2. Calculate the multiplication in the denominator: \[ 8 \cdot 2 = 16 \]

3. Substitute these values back into the expression: \[ 32 + 32 : 16 \]

4. Now, perform the division: \[ 32 : 16 = 2 \]

5. Finally, add the result to 32: \[ 32 + 2 = 34 \]

Thus, the final answer is: \[ \boxed{34} \]