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Simplifying 9(2n + -3) = (4n + 1) + 1 Reorder the terms: 9(-3 + 2n) = (4n + 1) + 1 (-3 * 9 + 2n * 9) = (4n + 1) + 1 (-27 + 18n) = (4n + 1) + 1 Reorder the terms: -27 + 18n = (1 + 4n) + 1 Remove parenthesis around (1 + 4n) -27 + 18n = 1 + 4n + 1 Reorder the terms: -27 + 18n = 1 + 1 + 4n Combine like terms: 1 + 1 = 2 -27 + 18n = 2 + 4n Solving -27 + 18n = 2 + 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 = 2 + 4n + -4n Combine like terms: 18n + -4n = 14n -27 + 14n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -27 + 14n = 2 + 0 -27 + 14n = 2 Add '27' to each side of the equation. -27 + 27 + 14n = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 14n = 2 + 27 14n = 2 + 27 Combine like terms: 2 + 27 = 29 14n = 29 Divide each side by '14'. n = 2.071428571 Simplifying n = 2.071428571
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