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Simplifying 3(3n + 5) = 6(8n + 5) + 8 Reorder the terms: 3(5 + 3n) = 6(8n + 5) + 8 (5 * 3 + 3n * 3) = 6(8n + 5) + 8 (15 + 9n) = 6(8n + 5) + 8 Reorder the terms: 15 + 9n = 6(5 + 8n) + 8 15 + 9n = (5 * 6 + 8n * 6) + 8 15 + 9n = (30 + 48n) + 8 Reorder the terms: 15 + 9n = 30 + 8 + 48n Combine like terms: 30 + 8 = 38 15 + 9n = 38 + 48n Solving 15 + 9n = 38 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 15 + 9n + -48n = 38 + 48n + -48n Combine like terms: 9n + -48n = -39n 15 + -39n = 38 + 48n + -48n Combine like terms: 48n + -48n = 0 15 + -39n = 38 + 0 15 + -39n = 38 Add '-15' to each side of the equation. 15 + -15 + -39n = 38 + -15 Combine like terms: 15 + -15 = 0 0 + -39n = 38 + -15 -39n = 38 + -15 Combine like terms: 38 + -15 = 23 -39n = 23 Divide each side by '-39'. n = -0.5897435897 Simplifying n = -0.5897435897
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