equate
Equate is a verb meaning to regard, represent, or treat two things as equal in value, quantity, significance, or status. It can also mean to bring two expressions or ideas into a stated equivalence. The term derives from Latin aequare "to make equal," via Old French equater, and entered English in the late Middle Ages. The noun form equation shares the same root and refers to a statement asserting that two expressions are equal.
In mathematics and logic, equate often appears in phrases such as "to equate two expressions," which means
Word usage notes: equate implies a declared or assumed sameness rather than a physical or objective identity