1. **State the problem:** Calculate the value of the expression $$25 + \frac{32}{(10-6) \times 4}$$. 2. **Identify the order of operations:** According to PEMDAS/BODMAS rules, we first solve expressions inside parentheses, then multiplication and division from left to right, and finally addition and subtraction. 3. **Calculate the denominator:** $$10 - 6 = 4$$ 4. **Multiply the result by 4:** $$4 \times 4 = 16$$ 5. **Divide 32 by the result:** $$\frac{32}{16} = 2$$ 6. **Add 25 to the quotient:** $$25 + 2 = 27$$ **Final answer:** $$27$$