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What value of "n" makes the equation 6(73n - 1) = n - 72(8 - 4n) true?

A) n = -2

B) n = 10/3

C) n = 2

D) n = -10/3

1 Answer

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Final answer:

To solve the equation 6(73n - 1) = n - 72(8 - 4n), simplify both sides of the equation, combine like terms, and isolate n.

Step-by-step explanation:

To solve the equation 6(73n - 1) = n - 72(8 - 4n), we need to simplify both sides of the equation. Distribute the 6 on the left side and the -72 on the right side. This gives us 438n - 6 = n - 576 + 288n. Combine like terms on both sides by moving the variables to one side and the constants to the other side. This gives us 150n = -570. Finally, divide both sides by 150 to isolate n, giving us n = -3.8.

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