Let's simplify the expression step by step:

Given expression: $3(4n + 10) + 5$

1. Distribute the 3 across the parentheses: $3 \times 4n + 3 \times 10 + 5$ This gives: $12n + 30 + 5$

2. Combine like terms (30 + 5): $12n + 35$

So, the simplified expression is: $12n + 35$

Would you like more details or help with another problem?

---

Here are 5 related questions:

1. How would you solve for $n$ if the expression equals 0?
2. What would happen if we added another term, like $+2n$, to the expression?
3. How can you factor the expression $12n + 35$?
4. What is the difference between simplifying an expression and solving an equation?
5. How would you apply the distributive property to a more complex expression like $3(2n + 5) + 4(n - 3)$?

Tip: When distributing, always make sure to multiply each term inside the parentheses by the factor outside, and double-check your signs.