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Simplifying -3n + 5(1 + 6n) = -77 -3n + (1 * 5 + 6n * 5) = -77 -3n + (5 + 30n) = -77 Reorder the terms: 5 + -3n + 30n = -77 Combine like terms: -3n + 30n = 27n 5 + 27n = -77 Solving 5 + 27n = -77 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 27n = -77 + -5 Combine like terms: 5 + -5 = 0 0 + 27n = -77 + -5 27n = -77 + -5 Combine like terms: -77 + -5 = -82 27n = -82 Divide each side by '27'. n = -3.037037037 Simplifying n = -3.037037037
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