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Simplifying 5(3n + 1) = 6(6n + 3) + 7 Reorder the terms: 5(1 + 3n) = 6(6n + 3) + 7 (1 * 5 + 3n * 5) = 6(6n + 3) + 7 (5 + 15n) = 6(6n + 3) + 7 Reorder the terms: 5 + 15n = 6(3 + 6n) + 7 5 + 15n = (3 * 6 + 6n * 6) + 7 5 + 15n = (18 + 36n) + 7 Reorder the terms: 5 + 15n = 18 + 7 + 36n Combine like terms: 18 + 7 = 25 5 + 15n = 25 + 36n Solving 5 + 15n = 25 + 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. 5 + 15n + -36n = 25 + 36n + -36n Combine like terms: 15n + -36n = -21n 5 + -21n = 25 + 36n + -36n Combine like terms: 36n + -36n = 0 5 + -21n = 25 + 0 5 + -21n = 25 Add '-5' to each side of the equation. 5 + -5 + -21n = 25 + -5 Combine like terms: 5 + -5 = 0 0 + -21n = 25 + -5 -21n = 25 + -5 Combine like terms: 25 + -5 = 20 -21n = 20 Divide each side by '-21'. n = -0.9523809524 Simplifying n = -0.9523809524
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