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Let's solve the given equations by dividing both sides by the number outside the parentheses as recommended:

### a. \( 9(x - 4) = 72 \)
1. **Divide both sides by 9**:
   \[
   \frac{9(x - 4)}{9} = \frac{72}{9}
   \]
   Simplifies to:
   \[
   x - 4 = 8
   \]

2. **Add 4 to both sides** to solve for \( x \):
   \[
   x = 8 + 4 = 12
   \]
   So, \( x = 12 \).

### b. \( 8(x + 5) = 60 \)
1. **Divide both sides by 8**:
   \[
   \frac{8(x + 5)}{8} = \frac{60}{8}
   \]
   Simplifies to:
   \[
   x + 5 = 7.5
   \]

2. **Subtract 5 from both sides** to solve for \( x \):
   \[
   x = 7.5 - 5 = 2.5
   \]
   So, \( x = 2.5 \).

### Explanation of when to use this method:
You should use this method (dividing both sides by the number outside the parentheses) when the equation involves a constant multiplying a binomial (expression in parentheses). It simplifies the equation and avoids having to distribute the number over the terms inside the parentheses, which can be a quicker approach.

Would you like further details or have any questions?

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Here are 5 related questions:
1. What is the alternative method to solve these equations by distributing first?
2. How does dividing simplify solving these types of equations?
3. What happens if you forget to divide both sides equally?
4. Can you solve an equation like \( 9(x - 4) = 72 \) by factoring?
5. What would change if the equation involved a fraction instead of an integer outside the parentheses?

**Tip**: Always ensure you divide both sides of the equation equally to maintain balance in the equation.

Solve each equation by first dividing each side of the equation by the number outside the parentheses. When would you recommend using this method to solve an equation?

Learn how to solve linear equations like 9(x - 4) = 72 and 8(x + 5) = 60 by dividing both sides of the equation by the constant outside the parentheses. This approach simplifies the process by avoiding distribution. Suitable for students in Grades 7-9.

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