To solve the equation \(-4 + 2b = -40\) using inverse operations, follow these steps:
1. **Add 4 to both sides** to isolate the term with \(b\):
\[
-4 + 2b + 4 = -40 + 4
\]
This simplifies to:
\[
2b = -36
\]
2. **Divide both sides by 2** to solve for \(b\):
\[
\frac{2b}{2} = \frac{-36}{2}
\]
This simplifies to:
\[
b = -18
\]
So, the solution to the equation is \(b = -18\).
### Summary of Steps:
- Start with the equation: \(-4 + 2b = -40\)
- Add 4 to both sides: \(2b = -36\)
- Divide both sides by 2: \(b = -18\)
If you need a sketch or visual representation of the steps, unfortunately, I can't create or display images directly, but you can plot out those steps on a sketch pad or paper following the derived steps provided above. If you decide to upload a handwritten solution, that would clearly illustrate your work.