The problem in the image is:

Expand the brackets and simplify $5n + 3(4 + 2n)$.

Step 1: Expand the brackets

Distribute $3$ across $(4 + 2n)$: $3(4 + 2n) = 3 \cdot 4 + 3 \cdot 2n = 12 + 6n.$

Step 2: Rewrite the expression

The expanded form becomes: $5n + 12 + 6n.$

Step 3: Combine like terms

Combine $5n$ and $6n$ (the terms involving $n$): $5n + 6n = 11n.$ Now add the constant $12$: $11n + 12.$

Final Answer:

$11n + 12$

Let me know if you'd like a deeper explanation of any step!

Related Questions:

1. How do you distribute terms over brackets in expressions like $a(b + c)$?
2. Can you explain combining like terms with more examples?
3. How would this process differ if there were subtraction in the brackets instead of addition?
4. What happens if the brackets include more complex expressions, like $(x^2 + 3x)$?
5. How does this relate to solving equations involving brackets?

Tip:

Always simplify expressions step by step: expand brackets first, then combine like terms.