To simplify the expression \( 7(3r + 2) \), you can distribute the 7 to both terms inside the parentheses:

\[
7(3r + 2) = 7 \times 3r + 7 \times 2 = 21r + 14
\]

So, the simplified form of the expression is \( 21r + 14 \).

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. How would you solve for \( r \) if \( 7(3r + 2) = 35 \)?
2. What happens when \( r = 1 \) in the expression \( 21r + 14 \)?
3. How would you factor \( 21r + 14 \) back into its original form?
4. Can you solve the equation \( 7(3r + 2) = 0 \)?
5. What is the result of multiplying \( 7(3r - 2) \)?

**Tip:** Always distribute multiplication carefully to each term inside parentheses when simplifying expressions.

Learn how to simplify the algebraic expression 7(3r + 2) using the distributive property. This problem covers fundamental algebraic concepts, including distribution and simplification, and is suitable for students in Grades 6-8.

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