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Simplifying -3(4.5n + -9) = 24.5 + -5n Reorder the terms: -3(-9 + 4.5n) = 24.5 + -5n (-9 * -3 + 4.5n * -3) = 24.5 + -5n (27 + -13.5n) = 24.5 + -5n Solving 27 + -13.5n = 24.5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 27 + -13.5n + 5n = 24.5 + -5n + 5n Combine like terms: -13.5n + 5n = -8.5n 27 + -8.5n = 24.5 + -5n + 5n Combine like terms: -5n + 5n = 0 27 + -8.5n = 24.5 + 0 27 + -8.5n = 24.5 Add '-27' to each side of the equation. 27 + -27 + -8.5n = 24.5 + -27 Combine like terms: 27 + -27 = 0 0 + -8.5n = 24.5 + -27 -8.5n = 24.5 + -27 Combine like terms: 24.5 + -27 = -2.5 -8.5n = -2.5 Divide each side by '-8.5'. n = 0.2941176471 Simplifying n = 0.2941176471
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