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.