Video: Evaluating Algebraic Expressions by Factoring Out the Highest Common Factor

Given that 3𝑚 − 4𝑛 = −2, what is the value of −6𝑚 + 8𝑛?

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Video Transcript

Given that three 𝑚 minus four 𝑛 is equal to negative two, what is the value of negative six 𝑚 plus eight 𝑛?

We can multiply both sides of the equation by negative two. Negative two multiplied by three 𝑚 is negative six 𝑚. Multiplying two negative terms gives a positive answer. Therefore, negative two multiplied by negative four 𝑛 is equal to eight 𝑛. The left-hand side of our equation is now equal to the expression negative six 𝑚 plus eight 𝑛. On the right-hand side, negative two multiplied by negative two is four. If three 𝑚 minus four 𝑛 is equal to negative two, then negative six 𝑚 plus eight 𝑛 is equal to four.

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