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Simplifying 5(2n + 1) = 9(6n + 1) + 7 Reorder the terms: 5(1 + 2n) = 9(6n + 1) + 7 (1 * 5 + 2n * 5) = 9(6n + 1) + 7 (5 + 10n) = 9(6n + 1) + 7 Reorder the terms: 5 + 10n = 9(1 + 6n) + 7 5 + 10n = (1 * 9 + 6n * 9) + 7 5 + 10n = (9 + 54n) + 7 Reorder the terms: 5 + 10n = 9 + 7 + 54n Combine like terms: 9 + 7 = 16 5 + 10n = 16 + 54n Solving 5 + 10n = 16 + 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. 5 + 10n + -54n = 16 + 54n + -54n Combine like terms: 10n + -54n = -44n 5 + -44n = 16 + 54n + -54n Combine like terms: 54n + -54n = 0 5 + -44n = 16 + 0 5 + -44n = 16 Add '-5' to each side of the equation. 5 + -5 + -44n = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -44n = 16 + -5 -44n = 16 + -5 Combine like terms: 16 + -5 = 11 -44n = 11 Divide each side by '-44'. n = -0.25 Simplifying n = -0.25
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