https://file.aiquickdraw.com/mathbot/file/17272750015854amrp17o.jpg

The equation presented in the image is:

\[
r = (b - 3)m
\]

To solve for \( b \), follow these steps:

1. First, divide both sides of the equation by \( m \) to isolate the \( (b - 3) \) term:
   \[
   \frac{r}{m} = b - 3
   \]

2. Then, add 3 to both sides of the equation to solve for \( b \):
   \[
   b = \frac{r}{m} + 3
   \]

So, the solution is:
\[
b = \frac{r}{m} + 3
\]

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Would you like any further clarifications or more details on solving similar equations?

Here are 5 related questions for further exploration:
1. How can you check if your solution for \( b \) is correct?
2. What happens if \( m = 0 \) in the equation?
3. How would the solution change if the equation was \( r = (b + 3)m \)?
4. Can you solve for \( b \) if the equation was \( r = b^2 - 3m \)?
5. How do you apply the distributive property to equations like \( r = (b - 3)m \)?

**Tip:** Always check your solution by substituting it back into the original equation to verify if both sides are equal.

Solve for b in the equation r = (b - 3)m.

Learn how to solve for b in the linear equation r = (b - 3)m. Follow a detailed step-by-step solution covering key algebraic concepts such as isolating variables and solving for unknowns. This problem is suitable for students in Grades 6-8.

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