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Simplifying 4(2n + 2) = 9(8n + 1) + 8 Reorder the terms: 4(2 + 2n) = 9(8n + 1) + 8 (2 * 4 + 2n * 4) = 9(8n + 1) + 8 (8 + 8n) = 9(8n + 1) + 8 Reorder the terms: 8 + 8n = 9(1 + 8n) + 8 8 + 8n = (1 * 9 + 8n * 9) + 8 8 + 8n = (9 + 72n) + 8 Reorder the terms: 8 + 8n = 9 + 8 + 72n Combine like terms: 9 + 8 = 17 8 + 8n = 17 + 72n Solving 8 + 8n = 17 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 8 + 8n + -72n = 17 + 72n + -72n Combine like terms: 8n + -72n = -64n 8 + -64n = 17 + 72n + -72n Combine like terms: 72n + -72n = 0 8 + -64n = 17 + 0 8 + -64n = 17 Add '-8' to each side of the equation. 8 + -8 + -64n = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -64n = 17 + -8 -64n = 17 + -8 Combine like terms: 17 + -8 = 9 -64n = 9 Divide each side by '-64'. n = -0.140625 Simplifying n = -0.140625
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