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Simplifying 7(4n + 5) = 5(2n + 9) + -10 Reorder the terms: 7(5 + 4n) = 5(2n + 9) + -10 (5 * 7 + 4n * 7) = 5(2n + 9) + -10 (35 + 28n) = 5(2n + 9) + -10 Reorder the terms: 35 + 28n = 5(9 + 2n) + -10 35 + 28n = (9 * 5 + 2n * 5) + -10 35 + 28n = (45 + 10n) + -10 Reorder the terms: 35 + 28n = 45 + -10 + 10n Combine like terms: 45 + -10 = 35 35 + 28n = 35 + 10n Add '-35' to each side of the equation. 35 + -35 + 28n = 35 + -35 + 10n Combine like terms: 35 + -35 = 0 0 + 28n = 35 + -35 + 10n 28n = 35 + -35 + 10n Combine like terms: 35 + -35 = 0 28n = 0 + 10n 28n = 10n Solving 28n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 28n + -10n = 10n + -10n Combine like terms: 28n + -10n = 18n 18n = 10n + -10n Combine like terms: 10n + -10n = 0 18n = 0 Divide each side by '18'. n = 0 Simplifying n = 0
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