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Simplifying 5(3n + 5) = 9(4n + 2) + 1 Reorder the terms: 5(5 + 3n) = 9(4n + 2) + 1 (5 * 5 + 3n * 5) = 9(4n + 2) + 1 (25 + 15n) = 9(4n + 2) + 1 Reorder the terms: 25 + 15n = 9(2 + 4n) + 1 25 + 15n = (2 * 9 + 4n * 9) + 1 25 + 15n = (18 + 36n) + 1 Reorder the terms: 25 + 15n = 18 + 1 + 36n Combine like terms: 18 + 1 = 19 25 + 15n = 19 + 36n Solving 25 + 15n = 19 + 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. 25 + 15n + -36n = 19 + 36n + -36n Combine like terms: 15n + -36n = -21n 25 + -21n = 19 + 36n + -36n Combine like terms: 36n + -36n = 0 25 + -21n = 19 + 0 25 + -21n = 19 Add '-25' to each side of the equation. 25 + -25 + -21n = 19 + -25 Combine like terms: 25 + -25 = 0 0 + -21n = 19 + -25 -21n = 19 + -25 Combine like terms: 19 + -25 = -6 -21n = -6 Divide each side by '-21'. n = 0.2857142857 Simplifying n = 0.2857142857
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