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Simplifying 3(2n + 5) = 6(6n + 9) + 5 Reorder the terms: 3(5 + 2n) = 6(6n + 9) + 5 (5 * 3 + 2n * 3) = 6(6n + 9) + 5 (15 + 6n) = 6(6n + 9) + 5 Reorder the terms: 15 + 6n = 6(9 + 6n) + 5 15 + 6n = (9 * 6 + 6n * 6) + 5 15 + 6n = (54 + 36n) + 5 Reorder the terms: 15 + 6n = 54 + 5 + 36n Combine like terms: 54 + 5 = 59 15 + 6n = 59 + 36n Solving 15 + 6n = 59 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 15 + 6n + -36n = 59 + 36n + -36n Combine like terms: 6n + -36n = -30n 15 + -30n = 59 + 36n + -36n Combine like terms: 36n + -36n = 0 15 + -30n = 59 + 0 15 + -30n = 59 Add '-15' to each side of the equation. 15 + -15 + -30n = 59 + -15 Combine like terms: 15 + -15 = 0 0 + -30n = 59 + -15 -30n = 59 + -15 Combine like terms: 59 + -15 = 44 -30n = 44 Divide each side by '-30'. n = -1.466666667 Simplifying n = -1.466666667
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