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Simplifying 10(11n + 5) = -10n + 90n Reorder the terms: 10(5 + 11n) = -10n + 90n (5 * 10 + 11n * 10) = -10n + 90n (50 + 110n) = -10n + 90n Combine like terms: -10n + 90n = 80n 50 + 110n = 80n Solving 50 + 110n = 80n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-80n' to each side of the equation. 50 + 110n + -80n = 80n + -80n Combine like terms: 110n + -80n = 30n 50 + 30n = 80n + -80n Combine like terms: 80n + -80n = 0 50 + 30n = 0 Add '-50' to each side of the equation. 50 + -50 + 30n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 30n = 0 + -50 30n = 0 + -50 Combine like terms: 0 + -50 = -50 30n = -50 Divide each side by '30'. n = -1.666666667 Simplifying n = -1.666666667
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