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Simplifying 9(3n + -3) = (4n + 8) + 2 Reorder the terms: 9(-3 + 3n) = (4n + 8) + 2 (-3 * 9 + 3n * 9) = (4n + 8) + 2 (-27 + 27n) = (4n + 8) + 2 Reorder the terms: -27 + 27n = (8 + 4n) + 2 Remove parenthesis around (8 + 4n) -27 + 27n = 8 + 4n + 2 Reorder the terms: -27 + 27n = 8 + 2 + 4n Combine like terms: 8 + 2 = 10 -27 + 27n = 10 + 4n Solving -27 + 27n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -27 + 27n + -4n = 10 + 4n + -4n Combine like terms: 27n + -4n = 23n -27 + 23n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 -27 + 23n = 10 + 0 -27 + 23n = 10 Add '27' to each side of the equation. -27 + 27 + 23n = 10 + 27 Combine like terms: -27 + 27 = 0 0 + 23n = 10 + 27 23n = 10 + 27 Combine like terms: 10 + 27 = 37 23n = 37 Divide each side by '23'. n = 1.608695652 Simplifying n = 1.608695652
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