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Simplifying 3(3n + 1) = 8(8n + 5) + 8 Reorder the terms: 3(1 + 3n) = 8(8n + 5) + 8 (1 * 3 + 3n * 3) = 8(8n + 5) + 8 (3 + 9n) = 8(8n + 5) + 8 Reorder the terms: 3 + 9n = 8(5 + 8n) + 8 3 + 9n = (5 * 8 + 8n * 8) + 8 3 + 9n = (40 + 64n) + 8 Reorder the terms: 3 + 9n = 40 + 8 + 64n Combine like terms: 40 + 8 = 48 3 + 9n = 48 + 64n Solving 3 + 9n = 48 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 3 + 9n + -64n = 48 + 64n + -64n Combine like terms: 9n + -64n = -55n 3 + -55n = 48 + 64n + -64n Combine like terms: 64n + -64n = 0 3 + -55n = 48 + 0 3 + -55n = 48 Add '-3' to each side of the equation. 3 + -3 + -55n = 48 + -3 Combine like terms: 3 + -3 = 0 0 + -55n = 48 + -3 -55n = 48 + -3 Combine like terms: 48 + -3 = 45 -55n = 45 Divide each side by '-55'. n = -0.8181818182 Simplifying n = -0.8181818182
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