A noun and a participle together in the ablative, standing apart from the rest of the sentence, set the scene: "with X done", "when, since, although X …".
Recognise: a noun or pronoun with a participle (or an adjective or second noun), both in the ablative, where the noun is neither subject nor object of the main verb: te simul abrepto.
Translate as a clause, choosing "when", "after", "since", "although" or "with" by the sense: re aliqua obveniente "when something happens"; nullo facto discrimine "no distinction being made", that is "without distinction".
Time: a present participle is at the same time as the main verb, a perfect participle earlier or completed by then: te simul abrepto "with you snatched away at the same time".
Because sum has no present participle, two nouns, or a noun and an adjective, can form one too: me invito "against my will", Caesare duce "with Caesar as leader".