Let's solve the equation:

\[
2 + 5(f + 3)
\]

### Step 1: Distribute the 5 to both \( f \) and 3.
\[
2 + 5f + 15
\]

### Step 2: Combine like terms.
\[
(2 + 15) + 5f = 17 + 5f
\]

So, the simplified form of the equation is:

\[
17 + 5f
\]

Would you like more details on how I solved this or have any other questions?

Here are five related questions to explore further:
1. What happens if \( f = 2 \)? 
2. How would you solve the equation if it was set equal to a value, like \( 17 + 5f = 27 \)?
3. What if the expression was \( 2 + 5(f - 3) \) instead?
4. Can you factor out the common terms in an expression like \( 5f + 15 \)?
5. How do you handle more complex expressions involving multiple variables?

**Tip:** When solving linear equations, always combine like terms first before attempting further simplifications.

Learn how to simplify the algebraic expression 2 + 5(f + 3) with a step-by-step solution using the distributive property. This problem is suitable for students in Grades 6-8 and covers essential algebraic concepts.

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