There are several synonyms for the phrase "not accept" that can help add variation and depth to your writing. Some alternatives include "decline," "reject," "refuse," "disapprove," "turn down," and "dismiss." Each word carries a slightly different connotation, so it's important to choose the best option for the specific context. For example, "reject" may be more appropriate when referring to an offer or proposal, while "disapprove" may be better suited for expressing moral or ethical objections. By using synonyms for "not accept" in your writing, you can communicate your message with greater precision and impact.