The Addition Property of Equality states that if a equals b, what must also be true for any number c?

1. The property allows the same quantity c to be added to both sides of an equation without changing whether it is true. 2. If a equals b, adding c to a and to b keeps both sides equal to each other. 3. Adding c to only one side, or dividing both sides instead, would not preserve the equality in the same way. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_