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Simplifying 5(2n + 2) = 6(9n + 5) + 9 Reorder the terms: 5(2 + 2n) = 6(9n + 5) + 9 (2 * 5 + 2n * 5) = 6(9n + 5) + 9 (10 + 10n) = 6(9n + 5) + 9 Reorder the terms: 10 + 10n = 6(5 + 9n) + 9 10 + 10n = (5 * 6 + 9n * 6) + 9 10 + 10n = (30 + 54n) + 9 Reorder the terms: 10 + 10n = 30 + 9 + 54n Combine like terms: 30 + 9 = 39 10 + 10n = 39 + 54n Solving 10 + 10n = 39 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 10 + 10n + -54n = 39 + 54n + -54n Combine like terms: 10n + -54n = -44n 10 + -44n = 39 + 54n + -54n Combine like terms: 54n + -54n = 0 10 + -44n = 39 + 0 10 + -44n = 39 Add '-10' to each side of the equation. 10 + -10 + -44n = 39 + -10 Combine like terms: 10 + -10 = 0 0 + -44n = 39 + -10 -44n = 39 + -10 Combine like terms: 39 + -10 = 29 -44n = 29 Divide each side by '-44'. n = -0.6590909091 Simplifying n = -0.6590909091
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