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Simplifying 5(2n + 1) = 6(8n + 7) + 9 Reorder the terms: 5(1 + 2n) = 6(8n + 7) + 9 (1 * 5 + 2n * 5) = 6(8n + 7) + 9 (5 + 10n) = 6(8n + 7) + 9 Reorder the terms: 5 + 10n = 6(7 + 8n) + 9 5 + 10n = (7 * 6 + 8n * 6) + 9 5 + 10n = (42 + 48n) + 9 Reorder the terms: 5 + 10n = 42 + 9 + 48n Combine like terms: 42 + 9 = 51 5 + 10n = 51 + 48n Solving 5 + 10n = 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. 5 + 10n + -48n = 51 + 48n + -48n Combine like terms: 10n + -48n = -38n 5 + -38n = 51 + 48n + -48n Combine like terms: 48n + -48n = 0 5 + -38n = 51 + 0 5 + -38n = 51 Add '-5' to each side of the equation. 5 + -5 + -38n = 51 + -5 Combine like terms: 5 + -5 = 0 0 + -38n = 51 + -5 -38n = 51 + -5 Combine like terms: 51 + -5 = 46 -38n = 46 Divide each side by '-38'. n = -1.210526316 Simplifying n = -1.210526316
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