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Simplifying 5(3n + 5) = 6(6n + 7) + 3 Reorder the terms: 5(5 + 3n) = 6(6n + 7) + 3 (5 * 5 + 3n * 5) = 6(6n + 7) + 3 (25 + 15n) = 6(6n + 7) + 3 Reorder the terms: 25 + 15n = 6(7 + 6n) + 3 25 + 15n = (7 * 6 + 6n * 6) + 3 25 + 15n = (42 + 36n) + 3 Reorder the terms: 25 + 15n = 42 + 3 + 36n Combine like terms: 42 + 3 = 45 25 + 15n = 45 + 36n Solving 25 + 15n = 45 + 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 = 45 + 36n + -36n Combine like terms: 15n + -36n = -21n 25 + -21n = 45 + 36n + -36n Combine like terms: 36n + -36n = 0 25 + -21n = 45 + 0 25 + -21n = 45 Add '-25' to each side of the equation. 25 + -25 + -21n = 45 + -25 Combine like terms: 25 + -25 = 0 0 + -21n = 45 + -25 -21n = 45 + -25 Combine like terms: 45 + -25 = 20 -21n = 20 Divide each side by '-21'. n = -0.9523809524 Simplifying n = -0.9523809524
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