To expand the expression \( (n - 6)5 = 15 \) and solve for \( n \), follow these steps:

1. **Expand the left side** by distributing the 5 across the terms inside the parentheses:
   \[
   5 \cdot n - 5 \cdot 6 = 15
   \]
   \[
   5n - 30 = 15
   \]

2. **Add 30 to both sides** to isolate the term with \( n \):
   \[
   5n - 30 + 30 = 15 + 30
   \]
   \[
   5n = 45
   \]

3. **Divide both sides by 5** to solve for \( n \):
   \[
   n = \frac{45}{5}
   \]
   \[
   n = 9
   \]

So, the solution is \( n = 9 \).

Would you like more details or have any questions?

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Here are five related questions to explore further:

1. How would you solve the equation \( 4(n - 7) = 20 \)?
2. What is the solution to \( (n + 3)2 = 14 \) after expanding?
3. Can you solve \( (2x - 5)3 = 12 \) for \( x \)?
4. What happens if we have \( (n - 4)6 = 36 \)?
5. How would you approach solving \( (n + 2)8 = 40 \) after expanding?

**Tip:** When expanding, distribute the multiplication over addition or subtraction inside the parentheses before proceeding with solving the equation.

Learn how to expand and solve the equation (n - 6) * 5 = 15 step-by-step with detailed explanations. This problem involves algebraic equations and the distributive property. Suitable for students in Grades 7-9.

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