"Redress the balance" essentially means to correct an unfair situation or imbalance. There are several synonyms that can be used to convey a similar meaning, such as "restore equilibrium," "rebalance," "even the scales," "make amends," or "compensate." These phrases highlight the idea of remedying a wrong and creating a more just or equal environment. Whether it's in the realm of social justice, politics, or personal relationships, the importance of redressing imbalances cannot be overstated. Using different synonyms for this phrase can add variety and nuance to one's writing or speech, while still capturing its essential meaning.