To simplify the expression $11(4d + 6)$, we apply the distributive property, multiplying 11 by each term inside the parentheses:

$11(4d + 6) = 11 \times 4d + 11 \times 6 = 44d + 66$

So, the simplified expression is:

$44d + 66$

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. How would you factor the expression $44d + 66$?
2. What happens if you substitute $d = 2$ into the expression $44d + 66$?
3. How would the expression change if the constant term was 7 instead of 6, making it $11(4d + 7)$?
4. What is the result of dividing the expression $44d + 66$ by 11?
5. How would you solve the equation $11(4d + 6) = 88$?

Tip: Always remember to distribute multiplication across all terms inside parentheses when simplifying expressions!