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Simplifying 5(n + 5) + -1(5 + -5n) = 9n Reorder the terms: 5(5 + n) + -1(5 + -5n) = 9n (5 * 5 + n * 5) + -1(5 + -5n) = 9n (25 + 5n) + -1(5 + -5n) = 9n 25 + 5n + (5 * -1 + -5n * -1) = 9n 25 + 5n + (-5 + 5n) = 9n Reorder the terms: 25 + -5 + 5n + 5n = 9n Combine like terms: 25 + -5 = 20 20 + 5n + 5n = 9n Combine like terms: 5n + 5n = 10n 20 + 10n = 9n Solving 20 + 10n = 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 = 9n + -9n Combine like terms: 10n + -9n = 1n 20 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 20 + 1n = 0 Add '-20' to each side of the equation. 20 + -20 + 1n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = 0 + -20 1n = 0 + -20 Combine like terms: 0 + -20 = -20 1n = -20 Divide each side by '1'. n = -20 Simplifying n = -20
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