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Simplifying 4(2n + 5) = 6(8n + 7) + 9 Reorder the terms: 4(5 + 2n) = 6(8n + 7) + 9 (5 * 4 + 2n * 4) = 6(8n + 7) + 9 (20 + 8n) = 6(8n + 7) + 9 Reorder the terms: 20 + 8n = 6(7 + 8n) + 9 20 + 8n = (7 * 6 + 8n * 6) + 9 20 + 8n = (42 + 48n) + 9 Reorder the terms: 20 + 8n = 42 + 9 + 48n Combine like terms: 42 + 9 = 51 20 + 8n = 51 + 48n Solving 20 + 8n = 51 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 20 + 8n + -48n = 51 + 48n + -48n Combine like terms: 8n + -48n = -40n 20 + -40n = 51 + 48n + -48n Combine like terms: 48n + -48n = 0 20 + -40n = 51 + 0 20 + -40n = 51 Add '-20' to each side of the equation. 20 + -20 + -40n = 51 + -20 Combine like terms: 20 + -20 = 0 0 + -40n = 51 + -20 -40n = 51 + -20 Combine like terms: 51 + -20 = 31 -40n = 31 Divide each side by '-40'. n = -0.775 Simplifying n = -0.775
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