32:2(3+5)

To solve the expression \( 32:2(3+5) \), we need to follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).

1. Calculate the expression inside the parentheses: \[ 3 + 5 = 8 \]

2. Now substitute the result back into the expression: \[ 32 : 2(8) \]

3. The expression can be thought of as: \[ 32 : 2 \times 8 \]

4. Perform the division first (from left to right): \[ 32 : 2 = 16 \]

5. Now, multiply that result by 8: \[ 16 \times 8 = 128 \]

Therefore, the final result is: \[ \boxed{128} \]