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Simplifying 9(3n + -5) = (3n + 7) + 3 Reorder the terms: 9(-5 + 3n) = (3n + 7) + 3 (-5 * 9 + 3n * 9) = (3n + 7) + 3 (-45 + 27n) = (3n + 7) + 3 Reorder the terms: -45 + 27n = (7 + 3n) + 3 Remove parenthesis around (7 + 3n) -45 + 27n = 7 + 3n + 3 Reorder the terms: -45 + 27n = 7 + 3 + 3n Combine like terms: 7 + 3 = 10 -45 + 27n = 10 + 3n Solving -45 + 27n = 10 + 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 = 10 + 3n + -3n Combine like terms: 27n + -3n = 24n -45 + 24n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -45 + 24n = 10 + 0 -45 + 24n = 10 Add '45' to each side of the equation. -45 + 45 + 24n = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 24n = 10 + 45 24n = 10 + 45 Combine like terms: 10 + 45 = 55 24n = 55 Divide each side by '24'. n = 2.291666667 Simplifying n = 2.291666667
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