independently
/ˌɪndɪˈpɛndəntli/ adverb B2- In an independent manner. · Both teams worked out the answers independently.· The business partners had radically different ideas for the company, and each decided to work on a project independently of the other.
From the library
The silver heart left the office, swinging and banging itself independently against the office furniture as it indignantly departed.
To this Cavalcanti replied by saying that for some time past his son had lived independently of him, that he had his own horses and carriages, and that not having come together, it would not be difficult for them to leave separately.
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