A balanced set is like a see-saw, where both sides are equal in weight and they stay level. Imagine you have a bunch of objects, like apples and oranges, and you want to divide them into two groups so they have the same weight. If you put too many apples on one side, it will be heavier and the see-saw will tip. But if you take out some apples and put in the same weight of oranges, the see-saw will stay balanced. This is what it means to have a balanced set - both sides have the same weight or value.