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Simplifying 5(2n + -4) = 9(n + 5) Reorder the terms: 5(-4 + 2n) = 9(n + 5) (-4 * 5 + 2n * 5) = 9(n + 5) (-20 + 10n) = 9(n + 5) Reorder the terms: -20 + 10n = 9(5 + n) -20 + 10n = (5 * 9 + n * 9) -20 + 10n = (45 + 9n) Solving -20 + 10n = 45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -20 + 10n + -9n = 45 + 9n + -9n Combine like terms: 10n + -9n = 1n -20 + 1n = 45 + 9n + -9n Combine like terms: 9n + -9n = 0 -20 + 1n = 45 + 0 -20 + 1n = 45 Add '20' to each side of the equation. -20 + 20 + 1n = 45 + 20 Combine like terms: -20 + 20 = 0 0 + 1n = 45 + 20 1n = 45 + 20 Combine like terms: 45 + 20 = 65 1n = 65 Divide each side by '1'. n = 65 Simplifying n = 65
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