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придя домой

when I got home

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phrase Rare #53,271
when I got home Means after arriving home; the person who comes home is also the subject of the main clause.
RU: Придя домой, она сразу позвонила маме.
EN: When she got home, she called her mom right away.

Придя домой, Том сразу лёг спать.

Arriving home, Tom immediately went to bed.

Первое, что я сделал, придя домой,-это разулся.

The first thing I did when I got home was take off my shoes.

Придя домой, я очень захотел есть.

When I came home, I was very hungry.