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Simplifying 9(3n + -5) = (3n + 3) + 9 Reorder the terms: 9(-5 + 3n) = (3n + 3) + 9 (-5 * 9 + 3n * 9) = (3n + 3) + 9 (-45 + 27n) = (3n + 3) + 9 Reorder the terms: -45 + 27n = (3 + 3n) + 9 Remove parenthesis around (3 + 3n) -45 + 27n = 3 + 3n + 9 Reorder the terms: -45 + 27n = 3 + 9 + 3n Combine like terms: 3 + 9 = 12 -45 + 27n = 12 + 3n Solving -45 + 27n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -45 + 27n + -3n = 12 + 3n + -3n Combine like terms: 27n + -3n = 24n -45 + 24n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -45 + 24n = 12 + 0 -45 + 24n = 12 Add '45' to each side of the equation. -45 + 45 + 24n = 12 + 45 Combine like terms: -45 + 45 = 0 0 + 24n = 12 + 45 24n = 12 + 45 Combine like terms: 12 + 45 = 57 24n = 57 Divide each side by '24'. n = 2.375 Simplifying n = 2.375
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