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Simplifying 4(2n + 1) = 8(9n + 8) + 7 Reorder the terms: 4(1 + 2n) = 8(9n + 8) + 7 (1 * 4 + 2n * 4) = 8(9n + 8) + 7 (4 + 8n) = 8(9n + 8) + 7 Reorder the terms: 4 + 8n = 8(8 + 9n) + 7 4 + 8n = (8 * 8 + 9n * 8) + 7 4 + 8n = (64 + 72n) + 7 Reorder the terms: 4 + 8n = 64 + 7 + 72n Combine like terms: 64 + 7 = 71 4 + 8n = 71 + 72n Solving 4 + 8n = 71 + 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. 4 + 8n + -72n = 71 + 72n + -72n Combine like terms: 8n + -72n = -64n 4 + -64n = 71 + 72n + -72n Combine like terms: 72n + -72n = 0 4 + -64n = 71 + 0 4 + -64n = 71 Add '-4' to each side of the equation. 4 + -4 + -64n = 71 + -4 Combine like terms: 4 + -4 = 0 0 + -64n = 71 + -4 -64n = 71 + -4 Combine like terms: 71 + -4 = 67 -64n = 67 Divide each side by '-64'. n = -1.046875 Simplifying n = -1.046875
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