The phrase "pour balm on" means to soothe or alleviate someone's emotional distress or anguish. There are many synonyms for this phrase that can be used to describe similar actions. Some examples include "calm," "comfort," "console," "ease," "allay," and "appease." These terms all convey a sense of providing comfort and relief to someone who is experiencing emotional turmoil. Each synonym may be more appropriate in certain contexts, but all can help to convey a sense of understanding and empathy towards those who are struggling. By using these synonyms, we can provide emotional support and help those around us feel seen and understood.