This is the 3612th most frequent Russian word.
соседней
"Neighboring" or "adjacent."
Here, "соседней" describes the school as being adjacent or near to the house, indicating proximity and a neighborly relation in terms of location.
Мой дом находится рядом с соседней школой.
My house is located next to the neighboring school.
In this context, "соседней" refers to a village that is geographically close to, hence neighboring, the speaker's current reference point.
Мы гуляли в соседней деревне вчера вечером.
We walked in the neighboring village yesterday evening.
Here, "соседней" is used to specify a shelf that is next to or close to the original location, creating a spatial or adjacency relation.