Let's solve the equation \(3(5 - 8n) = 207\) step-by-step.

### Step 1: Distribute the 3 on the left-hand side.

\[
3 \cdot 5 - 3 \cdot 8n = 207
\]

Simplify the multiplication:

\[
15 - 24n = 207
\]

### Step 2: Subtract 15 from both sides to isolate the term with \(n\).

\[
15 - 15 - 24n = 207 - 15
\]

\[
-24n = 192
\]

### Step 3: Divide both sides by \(-24\) to solve for \(n\).

\[
n = \frac{192}{-24}
\]

Simplify the division:

\[
n = -8
\]

So, the solution to the equation is:

\[
\boxed{n = -8}
\]

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

Here are 5 related questions you might be interested in:

1. How do you solve equations with negative coefficients?
2. What is the best way to handle equations with parentheses?
3. How do you solve multi-step equations that involve distribution and combining like terms?
4. What are the properties of equality used when solving equations?
5. How do you solve equations involving more than one variable?

**Tip:** When solving equations, keep your work organized to avoid making arithmetic mistakes, especially with negative signs.

Learn how to solve the equation 3(5 - 8n) = 207 with a detailed step-by-step solution. This problem involves equations with parentheses, the distributive property, and basic arithmetic operations. Suitable for students in Grades 7-9.

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