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Simplifying 5(2n + 2) = 8(6n + 9) + 5 Reorder the terms: 5(2 + 2n) = 8(6n + 9) + 5 (2 * 5 + 2n * 5) = 8(6n + 9) + 5 (10 + 10n) = 8(6n + 9) + 5 Reorder the terms: 10 + 10n = 8(9 + 6n) + 5 10 + 10n = (9 * 8 + 6n * 8) + 5 10 + 10n = (72 + 48n) + 5 Reorder the terms: 10 + 10n = 72 + 5 + 48n Combine like terms: 72 + 5 = 77 10 + 10n = 77 + 48n Solving 10 + 10n = 77 + 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. 10 + 10n + -48n = 77 + 48n + -48n Combine like terms: 10n + -48n = -38n 10 + -38n = 77 + 48n + -48n Combine like terms: 48n + -48n = 0 10 + -38n = 77 + 0 10 + -38n = 77 Add '-10' to each side of the equation. 10 + -10 + -38n = 77 + -10 Combine like terms: 10 + -10 = 0 0 + -38n = 77 + -10 -38n = 77 + -10 Combine like terms: 77 + -10 = 67 -38n = 67 Divide each side by '-38'. n = -1.763157895 Simplifying n = -1.763157895
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