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Simplifying -5(4n + -1) + 2(2n + -7) = -73 Reorder the terms: -5(-1 + 4n) + 2(2n + -7) = -73 (-1 * -5 + 4n * -5) + 2(2n + -7) = -73 (5 + -20n) + 2(2n + -7) = -73 Reorder the terms: 5 + -20n + 2(-7 + 2n) = -73 5 + -20n + (-7 * 2 + 2n * 2) = -73 5 + -20n + (-14 + 4n) = -73 Reorder the terms: 5 + -14 + -20n + 4n = -73 Combine like terms: 5 + -14 = -9 -9 + -20n + 4n = -73 Combine like terms: -20n + 4n = -16n -9 + -16n = -73 Solving -9 + -16n = -73 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -16n = -73 + 9 Combine like terms: -9 + 9 = 0 0 + -16n = -73 + 9 -16n = -73 + 9 Combine like terms: -73 + 9 = -64 -16n = -64 Divide each side by '-16'. n = 4 Simplifying n = 4
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