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Simplifying 9(2n + -3) = (4n + 3) + 6 Reorder the terms: 9(-3 + 2n) = (4n + 3) + 6 (-3 * 9 + 2n * 9) = (4n + 3) + 6 (-27 + 18n) = (4n + 3) + 6 Reorder the terms: -27 + 18n = (3 + 4n) + 6 Remove parenthesis around (3 + 4n) -27 + 18n = 3 + 4n + 6 Reorder the terms: -27 + 18n = 3 + 6 + 4n Combine like terms: 3 + 6 = 9 -27 + 18n = 9 + 4n Solving -27 + 18n = 9 + 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 + 18n + -4n = 9 + 4n + -4n Combine like terms: 18n + -4n = 14n -27 + 14n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -27 + 14n = 9 + 0 -27 + 14n = 9 Add '27' to each side of the equation. -27 + 27 + 14n = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 14n = 9 + 27 14n = 9 + 27 Combine like terms: 9 + 27 = 36 14n = 36 Divide each side by '14'. n = 2.571428571 Simplifying n = 2.571428571
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