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Simplifying 9(3 + -10n) + -3(10n + 1) = 0 (3 * 9 + -10n * 9) + -3(10n + 1) = 0 (27 + -90n) + -3(10n + 1) = 0 Reorder the terms: 27 + -90n + -3(1 + 10n) = 0 27 + -90n + (1 * -3 + 10n * -3) = 0 27 + -90n + (-3 + -30n) = 0 Reorder the terms: 27 + -3 + -90n + -30n = 0 Combine like terms: 27 + -3 = 24 24 + -90n + -30n = 0 Combine like terms: -90n + -30n = -120n 24 + -120n = 0 Solving 24 + -120n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -120n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -120n = 0 + -24 -120n = 0 + -24 Combine like terms: 0 + -24 = -24 -120n = -24 Divide each side by '-120'. n = 0.2 Simplifying n = 0.2
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