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Simplifying 3(6 + -9n) + 5(1 + 6n) = 0 (6 * 3 + -9n * 3) + 5(1 + 6n) = 0 (18 + -27n) + 5(1 + 6n) = 0 18 + -27n + (1 * 5 + 6n * 5) = 0 18 + -27n + (5 + 30n) = 0 Reorder the terms: 18 + 5 + -27n + 30n = 0 Combine like terms: 18 + 5 = 23 23 + -27n + 30n = 0 Combine like terms: -27n + 30n = 3n 23 + 3n = 0 Solving 23 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3n = 0 + -23 3n = 0 + -23 Combine like terms: 0 + -23 = -23 3n = -23 Divide each side by '3'. n = -7.666666667 Simplifying n = -7.666666667
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