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Simplifying 9(3n + 1) = 8(8n + 8) + 8 Reorder the terms: 9(1 + 3n) = 8(8n + 8) + 8 (1 * 9 + 3n * 9) = 8(8n + 8) + 8 (9 + 27n) = 8(8n + 8) + 8 Reorder the terms: 9 + 27n = 8(8 + 8n) + 8 9 + 27n = (8 * 8 + 8n * 8) + 8 9 + 27n = (64 + 64n) + 8 Reorder the terms: 9 + 27n = 64 + 8 + 64n Combine like terms: 64 + 8 = 72 9 + 27n = 72 + 64n Solving 9 + 27n = 72 + 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. 9 + 27n + -64n = 72 + 64n + -64n Combine like terms: 27n + -64n = -37n 9 + -37n = 72 + 64n + -64n Combine like terms: 64n + -64n = 0 9 + -37n = 72 + 0 9 + -37n = 72 Add '-9' to each side of the equation. 9 + -9 + -37n = 72 + -9 Combine like terms: 9 + -9 = 0 0 + -37n = 72 + -9 -37n = 72 + -9 Combine like terms: 72 + -9 = 63 -37n = 63 Divide each side by '-37'. n = -1.702702703 Simplifying n = -1.702702703
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