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In this math tutorial, we learn how to check our answers when solving equations by ensuring our solution creates a true statement. By substituting the solution back into the equation, we can confirm if our answer is correct. For example, when x equals -3 in an equation, substituting it in gives us a true statement. However, if we mistakenly find a as 8 in a different equation, substituting it in results in a false statement, indicating an incorrect solution. Checking our answers is crucial to validate our work in solving equations accurately.