Let's simplify the expression step by step:

Given expression:
\[
5(8b + 3) - (7b + 8)
\]

1. **Distribute** the 5 to both terms inside the parentheses:
\[
5 \cdot 8b + 5 \cdot 3 = 40b + 15
\]
So, the expression becomes:
\[
40b + 15 - (7b + 8)
\]

2. **Distribute** the negative sign across the second parentheses:
\[
40b + 15 - 7b - 8
\]

3. **Combine like terms** (terms with \( b \) and constant terms):
\[
(40b - 7b) + (15 - 8) = 33b + 7
\]

So, the simplified expression is:
\[
33b + 7
\]

Do you have any questions or need further details?

Here are 5 related questions:
1. How do you solve equations when variables appear on both sides?
2. What is the distributive property and why is it useful?
3. How do you combine like terms in algebraic expressions?
4. What steps should be followed to simplify complex expressions?
5. Can you factor the expression \( 33b + 7 \)?

**Tip:** Always apply the distributive property and combine like terms carefully to avoid mistakes.

Explore how to simplify the algebraic expression 5(8b + 3) - (7b + 8) step-by-step. This problem involves the distributive property and combining like terms, making it a great practice for students in Grades 6-8.

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