Here "brothers" means fellow Christians, including both men and women. AT: "brothers and sisters" (See: [[rc://en/ta/man/translate/figs-gendernotations]])
"Name" here is a metonym for the person of Jesus Christ. AT: "by means of our Lord Jesus Christ" (See: [[rc://en/ta/man/translate/figs-metonomy]]) "by the authority of the Lord Jesus Christ"
Paul uses a double negative to emphasize the positive. This can be stated as a positive. AT: "We lived among you as those who had much discipline" (See: [[rc://en/ta/man/translate/figs-doublenegatives]])
"we worked during the night and during the day." Here "night" and "day" are a merism and they mean "all the time." AT: "we worked all the time" (See: [[rc://en/ta/man/translate/figs-merism]])
Paul emphasizes how hard his circumstances were. Difficult labor implies work that requires great effort. Hardship implies they endured pain and suffering. AT: "in very difficult circumstances" (See: [[rc://en/ta/man/translate/figs-doublet]])
Paul uses a double negative to emphasize the positive. This can be stated as a positive. AT: "We certainly have the right to receive food from you, but instead we worked for our food" (See: [[rc://en/ta/man/translate/figs-doublenegatives]])