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Simplifying 3(45n + 100) = -5(27n + -63) Reorder the terms: 3(100 + 45n) = -5(27n + -63) (100 * 3 + 45n * 3) = -5(27n + -63) (300 + 135n) = -5(27n + -63) Reorder the terms: 300 + 135n = -5(-63 + 27n) 300 + 135n = (-63 * -5 + 27n * -5) 300 + 135n = (315 + -135n) Solving 300 + 135n = 315 + -135n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '135n' to each side of the equation. 300 + 135n + 135n = 315 + -135n + 135n Combine like terms: 135n + 135n = 270n 300 + 270n = 315 + -135n + 135n Combine like terms: -135n + 135n = 0 300 + 270n = 315 + 0 300 + 270n = 315 Add '-300' to each side of the equation. 300 + -300 + 270n = 315 + -300 Combine like terms: 300 + -300 = 0 0 + 270n = 315 + -300 270n = 315 + -300 Combine like terms: 315 + -300 = 15 270n = 15 Divide each side by '270'. n = 0.05555555556 Simplifying n = 0.05555555556
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