Thank you for the clarification. The equation you want to rearrange has the form \( S = P(rt + 1) \), where you want to solve for \( rt \). Let's go through the steps to rearrange the equation:

1. **Start with the given equation:**
   \[
   S = P(rt + 1)
   \]

2. **Divide both sides by \( P \) to isolate \( rt + 1 \):**
   \[
   \frac{S}{P} = rt + 1
   \]

3. **Subtract 1 from both sides to solve for \( rt \):**
   \[
   rt = \frac{S}{P} - 1
   \]

Now, \( rt \) is the subject of the equation:
\[
rt = \frac{S}{P} - 1
\]

Would you like more details or have any other questions? Here are some related questions you might consider:

1. How would the solution change if the equation was \( S = P(rt - 1) \)?
2. What does the term \( rt \) represent in practical scenarios?
3. Can you factorize \( S = P(rt + 1) \) to further simplify the expression?
4. How does the relationship between \( S \), \( P \), and \( rt \) affect their possible values?
5. How would you solve for \( t \) if you already know \( r \)?

**Tip:** When solving for a product of variables (like \( rt \)), consider if you need to solve for each variable individually later on.

Learn how to rearrange the equation S = P(rt + 1) to solve for rt with detailed step-by-step instructions. This problem involves equation manipulation and algebraic techniques. Suitable for high school students.

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