Answer:
A situation where planes A and B are parallel, and line L is parallel to both planes can occur in a few different scenarios.
Firstly, this could happen if planes A and B are parallel to each other, and line L is parallel to both of them. Another possibility is that line L is perpendicular to planes A and B, but still parallel to both of them. Additionally, planes A and B could be parallel to each other, and line L could be skewed to both planes, but still parallel to both of them. Lastly, if line L lies on planes A and B, then it would be parallel to both planes.
In summary, this particular set of conditions can occur in various ways. Each scenario demonstrates the different ways in which planes and lines can be parallel to each other.