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Simplifying 9(3n + -2) = (4n + 5) + 1 Reorder the terms: 9(-2 + 3n) = (4n + 5) + 1 (-2 * 9 + 3n * 9) = (4n + 5) + 1 (-18 + 27n) = (4n + 5) + 1 Reorder the terms: -18 + 27n = (5 + 4n) + 1 Remove parenthesis around (5 + 4n) -18 + 27n = 5 + 4n + 1 Reorder the terms: -18 + 27n = 5 + 1 + 4n Combine like terms: 5 + 1 = 6 -18 + 27n = 6 + 4n Solving -18 + 27n = 6 + 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. -18 + 27n + -4n = 6 + 4n + -4n Combine like terms: 27n + -4n = 23n -18 + 23n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 23n = 6 + 0 -18 + 23n = 6 Add '18' to each side of the equation. -18 + 18 + 23n = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 23n = 6 + 18 23n = 6 + 18 Combine like terms: 6 + 18 = 24 23n = 24 Divide each side by '23'. n = 1.043478261 Simplifying n = 1.043478261
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