The video tutorial explains how to write equivalent expressions using the distributive property. It begins by breaking down multiplication problems into smaller, manageable parts, demonstrating with the example of 8 times 7. The tutorial then introduces variables, showing how to use them in expressions with the distributive property. It provides a practical example involving an amusement park to illustrate the concept further. By the end, viewers learn to apply the distributive property to simplify expressions and solve problems efficiently.

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