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Simplifying 5(3n + 5) = 9(4n + 5) + 2 Reorder the terms: 5(5 + 3n) = 9(4n + 5) + 2 (5 * 5 + 3n * 5) = 9(4n + 5) + 2 (25 + 15n) = 9(4n + 5) + 2 Reorder the terms: 25 + 15n = 9(5 + 4n) + 2 25 + 15n = (5 * 9 + 4n * 9) + 2 25 + 15n = (45 + 36n) + 2 Reorder the terms: 25 + 15n = 45 + 2 + 36n Combine like terms: 45 + 2 = 47 25 + 15n = 47 + 36n Solving 25 + 15n = 47 + 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 = 47 + 36n + -36n Combine like terms: 15n + -36n = -21n 25 + -21n = 47 + 36n + -36n Combine like terms: 36n + -36n = 0 25 + -21n = 47 + 0 25 + -21n = 47 Add '-25' to each side of the equation. 25 + -25 + -21n = 47 + -25 Combine like terms: 25 + -25 = 0 0 + -21n = 47 + -25 -21n = 47 + -25 Combine like terms: 47 + -25 = 22 -21n = 22 Divide each side by '-21'. n = -1.047619048 Simplifying n = -1.047619048
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