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Simplifying 9(3n + -4) = (9n + 8) + 2 Reorder the terms: 9(-4 + 3n) = (9n + 8) + 2 (-4 * 9 + 3n * 9) = (9n + 8) + 2 (-36 + 27n) = (9n + 8) + 2 Reorder the terms: -36 + 27n = (8 + 9n) + 2 Remove parenthesis around (8 + 9n) -36 + 27n = 8 + 9n + 2 Reorder the terms: -36 + 27n = 8 + 2 + 9n Combine like terms: 8 + 2 = 10 -36 + 27n = 10 + 9n Solving -36 + 27n = 10 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -36 + 27n + -9n = 10 + 9n + -9n Combine like terms: 27n + -9n = 18n -36 + 18n = 10 + 9n + -9n Combine like terms: 9n + -9n = 0 -36 + 18n = 10 + 0 -36 + 18n = 10 Add '36' to each side of the equation. -36 + 36 + 18n = 10 + 36 Combine like terms: -36 + 36 = 0 0 + 18n = 10 + 36 18n = 10 + 36 Combine like terms: 10 + 36 = 46 18n = 46 Divide each side by '18'. n = 2.555555556 Simplifying n = 2.555555556
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