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Simplifying 5(3n + 3) = 9(4n + 7) + 1 Reorder the terms: 5(3 + 3n) = 9(4n + 7) + 1 (3 * 5 + 3n * 5) = 9(4n + 7) + 1 (15 + 15n) = 9(4n + 7) + 1 Reorder the terms: 15 + 15n = 9(7 + 4n) + 1 15 + 15n = (7 * 9 + 4n * 9) + 1 15 + 15n = (63 + 36n) + 1 Reorder the terms: 15 + 15n = 63 + 1 + 36n Combine like terms: 63 + 1 = 64 15 + 15n = 64 + 36n Solving 15 + 15n = 64 + 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 + 15n + -36n = 64 + 36n + -36n Combine like terms: 15n + -36n = -21n 15 + -21n = 64 + 36n + -36n Combine like terms: 36n + -36n = 0 15 + -21n = 64 + 0 15 + -21n = 64 Add '-15' to each side of the equation. 15 + -15 + -21n = 64 + -15 Combine like terms: 15 + -15 = 0 0 + -21n = 64 + -15 -21n = 64 + -15 Combine like terms: 64 + -15 = 49 -21n = 49 Divide each side by '-21'. n = -2.333333333 Simplifying n = -2.333333333
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