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Simplifying 0.9(n + -30) = 0.5(n + 10) Reorder the terms: 0.9(-30 + n) = 0.5(n + 10) (-30 * 0.9 + n * 0.9) = 0.5(n + 10) (-27 + 0.9n) = 0.5(n + 10) Reorder the terms: -27 + 0.9n = 0.5(10 + n) -27 + 0.9n = (10 * 0.5 + n * 0.5) -27 + 0.9n = (5 + 0.5n) Solving -27 + 0.9n = 5 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. -27 + 0.9n + -0.5n = 5 + 0.5n + -0.5n Combine like terms: 0.9n + -0.5n = 0.4n -27 + 0.4n = 5 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -27 + 0.4n = 5 + 0.0 -27 + 0.4n = 5 Add '27' to each side of the equation. -27 + 27 + 0.4n = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 0.4n = 5 + 27 0.4n = 5 + 27 Combine like terms: 5 + 27 = 32 0.4n = 32 Divide each side by '0.4'. n = 80 Simplifying n = 80
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