This is the 5969th most frequent Russian word.
семейных
"Family" (genitive plural or related to family).
Here, 'семейных' is used in the genitive plural form as a descriptor for 'делами,' also serving an adjectival role detailing the type of matters Anna is dealing with.
Анна занимается семейных делами.
Anna is dealing with family matters.
In this sentence, 'семейных' is used in the genitive plural form as an attribute of 'ценностей,' stressing the importance of adhering to values related to families.
Семейных ценностей нужно придерживаться.
Family values need to be adhered to.
The word 'семейных' here is used as an adjective in the genitive plural form, associated with 'встреч' to describe gatherings related to families, emphasizing its adjectival function.