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You cannot plug in a variable, what you do is plug in the value for a variable. If you know the value of the variable in an equation (or formula), the process of replacing that variable whenever it appears in the equation by its value is called plugging in the value for the variable.
Substituting.
The term for replacing a variable with another value or expression is "substitution."
solution..
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.