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: $b = \frac{r}{m} + 3$

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.