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Simplifying 5(2n + 5) = 6(8n + 6) + 5 Reorder the terms: 5(5 + 2n) = 6(8n + 6) + 5 (5 * 5 + 2n * 5) = 6(8n + 6) + 5 (25 + 10n) = 6(8n + 6) + 5 Reorder the terms: 25 + 10n = 6(6 + 8n) + 5 25 + 10n = (6 * 6 + 8n * 6) + 5 25 + 10n = (36 + 48n) + 5 Reorder the terms: 25 + 10n = 36 + 5 + 48n Combine like terms: 36 + 5 = 41 25 + 10n = 41 + 48n Solving 25 + 10n = 41 + 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. 25 + 10n + -48n = 41 + 48n + -48n Combine like terms: 10n + -48n = -38n 25 + -38n = 41 + 48n + -48n Combine like terms: 48n + -48n = 0 25 + -38n = 41 + 0 25 + -38n = 41 Add '-25' to each side of the equation. 25 + -25 + -38n = 41 + -25 Combine like terms: 25 + -25 = 0 0 + -38n = 41 + -25 -38n = 41 + -25 Combine like terms: 41 + -25 = 16 -38n = 16 Divide each side by '-38'. n = -0.4210526316 Simplifying n = -0.4210526316
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