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Simplifying 4(2n + 5) = 8(9n + 3) + 6 Reorder the terms: 4(5 + 2n) = 8(9n + 3) + 6 (5 * 4 + 2n * 4) = 8(9n + 3) + 6 (20 + 8n) = 8(9n + 3) + 6 Reorder the terms: 20 + 8n = 8(3 + 9n) + 6 20 + 8n = (3 * 8 + 9n * 8) + 6 20 + 8n = (24 + 72n) + 6 Reorder the terms: 20 + 8n = 24 + 6 + 72n Combine like terms: 24 + 6 = 30 20 + 8n = 30 + 72n Solving 20 + 8n = 30 + 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 = 30 + 72n + -72n Combine like terms: 8n + -72n = -64n 20 + -64n = 30 + 72n + -72n Combine like terms: 72n + -72n = 0 20 + -64n = 30 + 0 20 + -64n = 30 Add '-20' to each side of the equation. 20 + -20 + -64n = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -64n = 30 + -20 -64n = 30 + -20 Combine like terms: 30 + -20 = 10 -64n = 10 Divide each side by '-64'. n = -0.15625 Simplifying n = -0.15625
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