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Simplifying 9(3n + -3) = (3n + 1) + 7 Reorder the terms: 9(-3 + 3n) = (3n + 1) + 7 (-3 * 9 + 3n * 9) = (3n + 1) + 7 (-27 + 27n) = (3n + 1) + 7 Reorder the terms: -27 + 27n = (1 + 3n) + 7 Remove parenthesis around (1 + 3n) -27 + 27n = 1 + 3n + 7 Reorder the terms: -27 + 27n = 1 + 7 + 3n Combine like terms: 1 + 7 = 8 -27 + 27n = 8 + 3n Solving -27 + 27n = 8 + 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. -27 + 27n + -3n = 8 + 3n + -3n Combine like terms: 27n + -3n = 24n -27 + 24n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -27 + 24n = 8 + 0 -27 + 24n = 8 Add '27' to each side of the equation. -27 + 27 + 24n = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 24n = 8 + 27 24n = 8 + 27 Combine like terms: 8 + 27 = 35 24n = 35 Divide each side by '24'. n = 1.458333333 Simplifying n = 1.458333333
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