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Simplifying 9(2n + -3) = (6n + 3) + 8 Reorder the terms: 9(-3 + 2n) = (6n + 3) + 8 (-3 * 9 + 2n * 9) = (6n + 3) + 8 (-27 + 18n) = (6n + 3) + 8 Reorder the terms: -27 + 18n = (3 + 6n) + 8 Remove parenthesis around (3 + 6n) -27 + 18n = 3 + 6n + 8 Reorder the terms: -27 + 18n = 3 + 8 + 6n Combine like terms: 3 + 8 = 11 -27 + 18n = 11 + 6n Solving -27 + 18n = 11 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -27 + 18n + -6n = 11 + 6n + -6n Combine like terms: 18n + -6n = 12n -27 + 12n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 -27 + 12n = 11 + 0 -27 + 12n = 11 Add '27' to each side of the equation. -27 + 27 + 12n = 11 + 27 Combine like terms: -27 + 27 = 0 0 + 12n = 11 + 27 12n = 11 + 27 Combine like terms: 11 + 27 = 38 12n = 38 Divide each side by '12'. n = 3.166666667 Simplifying n = 3.166666667
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