4. Which property, in lesson 4, states that in a given equation, when you multiply both sides of the equation by the same non-zero number, the two sides remain equal?

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Division Property of Equality
Multiplication Property of Equality

You are correct. The property that states that in a given equation, when you multiply both sides of the equation by the same non-zero number, the two sides remain equal is called the Multiplication Property of Equality.