The て-form joins actions in the order they happen: "A and then B". Every verb but the last goes into the て-form, and the last one carries the tense and the politeness for the whole sentence.
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I woke up in the morning and washed my face.
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I went to the supermarket and bought vegetables.
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Please wash your hands and then eat.
Any number of て-forms can be chained, in the order the actions happen.
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I walk to the station, take the train, and go to the office.
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Cut the ingredients, put them in the pot, and simmer them.
Tense goes on the last verb
The て-form has no tense of its own. The same て-clause works in a sentence about yesterday, today or tomorrow, and in plain or polite speech; only the final verb changes.
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I met my friend and watched a movie.
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I met my friend and watched a movie.
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Tomorrow I'll meet my friend and watch a movie.
Putting each verb in the past and running them together does not join them.
- × 友達に会いました、映画を見ました → 友達に会って、映画を見ました
て or てから
stresses that the first action is over before the second starts: "after". The plain て-form just puts them in order.
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I went out to play after I'd done my homework.
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I did my homework and went out to play.