The phrase "carried one weight" refers to feeling burdened or weighed down by a particular task or responsibility. There are several synonyms that can be used to convey a similar meaning, such as "felt the pressure," "shouldered the load," "bore the brunt," "carried the responsibility," or "carried the burden." Each of these phrases conveys a sense of responsibility or obligation that can be challenging to manage. However, it is essential to find ways to alleviate the pressure and seek support when needed, whether it be through delegating responsibilities or seeking the advice of a trusted colleague or friend.