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Simplifying 3(3n + 5) = 8(5n + 4) + 8 Reorder the terms: 3(5 + 3n) = 8(5n + 4) + 8 (5 * 3 + 3n * 3) = 8(5n + 4) + 8 (15 + 9n) = 8(5n + 4) + 8 Reorder the terms: 15 + 9n = 8(4 + 5n) + 8 15 + 9n = (4 * 8 + 5n * 8) + 8 15 + 9n = (32 + 40n) + 8 Reorder the terms: 15 + 9n = 32 + 8 + 40n Combine like terms: 32 + 8 = 40 15 + 9n = 40 + 40n Solving 15 + 9n = 40 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 15 + 9n + -40n = 40 + 40n + -40n Combine like terms: 9n + -40n = -31n 15 + -31n = 40 + 40n + -40n Combine like terms: 40n + -40n = 0 15 + -31n = 40 + 0 15 + -31n = 40 Add '-15' to each side of the equation. 15 + -15 + -31n = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -31n = 40 + -15 -31n = 40 + -15 Combine like terms: 40 + -15 = 25 -31n = 25 Divide each side by '-31'. n = -0.8064516129 Simplifying n = -0.8064516129
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