To simplify the expression \( 9b + 4(8 + 8b) + 10 \), follow these steps:

1. Distribute the \( 4 \) into the parentheses:
   \[
   4(8) + 4(8b) = 32 + 32b
   \]

2. Substitute this back into the expression:
   \[
   9b + 32 + 32b + 10
   \]

3. Combine like terms:
   - Combine the \( b \) terms: \( 9b + 32b = 41b \)
   - Combine the constant terms: \( 32 + 10 = 42 \)

4. The simplified expression is:
   \[
   41b + 42
   \]

Would you like any further details or explanations on this? Here are some related questions you might consider:

1. What other methods can be used to simplify algebraic expressions?
2. How do you distribute in algebraic expressions?
3. Can you explain the importance of combining like terms?
4. What are some common mistakes when simplifying expressions?
5. How would you apply this to solve an equation? 

**Tip:** Always keep an eye out for like terms; combining them can significantly simplify expressions!

Simplify the expression: 9b + 4(8 + 8b) + 10

Discover how to simplify the expression 9b + 4(8 + 8b) + 10 with a clear step-by-step approach. This example focuses on key algebraic concepts such as the distributive property and combining like terms. Ideal for students in Grades 6-8.

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