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Simplifying 9(2n + -1) = (4n + 8) + 1 Reorder the terms: 9(-1 + 2n) = (4n + 8) + 1 (-1 * 9 + 2n * 9) = (4n + 8) + 1 (-9 + 18n) = (4n + 8) + 1 Reorder the terms: -9 + 18n = (8 + 4n) + 1 Remove parenthesis around (8 + 4n) -9 + 18n = 8 + 4n + 1 Reorder the terms: -9 + 18n = 8 + 1 + 4n Combine like terms: 8 + 1 = 9 -9 + 18n = 9 + 4n Solving -9 + 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. -9 + 18n + -4n = 9 + 4n + -4n Combine like terms: 18n + -4n = 14n -9 + 14n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 14n = 9 + 0 -9 + 14n = 9 Add '9' to each side of the equation. -9 + 9 + 14n = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 14n = 9 + 9 14n = 9 + 9 Combine like terms: 9 + 9 = 18 14n = 18 Divide each side by '14'. n = 1.285714286 Simplifying n = 1.285714286
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