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The coefficients can be any numerical constants.
When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.
Solving for one variable makes it easy to put in a value for the other variables, and find a value for the first variable.
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.
Normally by solving the equation if it is an equttion.