Let's simplify the expression \( 3 \cdot (s + 8) - 4 \cdot (2s - 5) \).

1. First, distribute the 3 across \( (s + 8) \):
   \[
   3 \cdot s + 3 \cdot 8 = 3s + 24
   \]

2. Next, distribute the \(-4\) across \( (2s - 5) \):
   \[
   -4 \cdot 2s + (-4) \cdot (-5) = -8s + 20
   \]

3. Now, combine the expressions:
   \[
   3s + 24 - 8s + 20
   \]

4. Combine like terms:
   \[
   (3s - 8s) + (24 + 20) = -5s + 44
   \]

So, the simplified expression is:
\[
-5s + 44
\]

Would you like more details, or do you have any questions?

Here are 5 related questions to deepen your understanding:
1. What happens if you substitute \( s = 2 \) into the original expression?
2. How would you factor the expression \( -5s + 44 \)?
3. Can you solve the equation \( 3 \cdot (s + 8) - 4 \cdot (2s - 5) = 0 \)?
4. How does the distributive property help in simplifying algebraic expressions?
5. What are the steps to solve the equation \( 3 \cdot (s + 8) = 4 \cdot (2s - 5) \)?

**Tip:** Always combine like terms after distributing to simplify your expressions efficiently.

Learn how to simplify the algebraic expression 3(s + 8) - 4(2s - 5) step-by-step with detailed explanations. This problem involves applying the distributive property and combining like terms efficiently. Suitable for students in Grades 7-9.

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