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Simplifying 4(2n + 5) = 8(9n + 9) + 2 Reorder the terms: 4(5 + 2n) = 8(9n + 9) + 2 (5 * 4 + 2n * 4) = 8(9n + 9) + 2 (20 + 8n) = 8(9n + 9) + 2 Reorder the terms: 20 + 8n = 8(9 + 9n) + 2 20 + 8n = (9 * 8 + 9n * 8) + 2 20 + 8n = (72 + 72n) + 2 Reorder the terms: 20 + 8n = 72 + 2 + 72n Combine like terms: 72 + 2 = 74 20 + 8n = 74 + 72n Solving 20 + 8n = 74 + 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. 20 + 8n + -72n = 74 + 72n + -72n Combine like terms: 8n + -72n = -64n 20 + -64n = 74 + 72n + -72n Combine like terms: 72n + -72n = 0 20 + -64n = 74 + 0 20 + -64n = 74 Add '-20' to each side of the equation. 20 + -20 + -64n = 74 + -20 Combine like terms: 20 + -20 = 0 0 + -64n = 74 + -20 -64n = 74 + -20 Combine like terms: 74 + -20 = 54 -64n = 54 Divide each side by '-64'. n = -0.84375 Simplifying n = -0.84375
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