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Addition principle
If you add (or subtract) the same quantity to both sides of an equation, the resulting equation is equivalent to the original.
Equivalent Equations
Equations that have exactly the same solutions.
Multiplication principle
If you multiply (or divide) both sides of an equation by the same non-zero quantity, the resulting equation is equivalent to the original.
Solution (of an equation)
A value of the variable that makes the equation true when substituted into the equation.