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Simplifying 3(3n + 4) = 9(4n + 7) + 2 Reorder the terms: 3(4 + 3n) = 9(4n + 7) + 2 (4 * 3 + 3n * 3) = 9(4n + 7) + 2 (12 + 9n) = 9(4n + 7) + 2 Reorder the terms: 12 + 9n = 9(7 + 4n) + 2 12 + 9n = (7 * 9 + 4n * 9) + 2 12 + 9n = (63 + 36n) + 2 Reorder the terms: 12 + 9n = 63 + 2 + 36n Combine like terms: 63 + 2 = 65 12 + 9n = 65 + 36n Solving 12 + 9n = 65 + 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. 12 + 9n + -36n = 65 + 36n + -36n Combine like terms: 9n + -36n = -27n 12 + -27n = 65 + 36n + -36n Combine like terms: 36n + -36n = 0 12 + -27n = 65 + 0 12 + -27n = 65 Add '-12' to each side of the equation. 12 + -12 + -27n = 65 + -12 Combine like terms: 12 + -12 = 0 0 + -27n = 65 + -12 -27n = 65 + -12 Combine like terms: 65 + -12 = 53 -27n = 53 Divide each side by '-27'. n = -1.962962963 Simplifying n = -1.962962963
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