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Simplifying 9(3n + -1) = (7n + 9) + 5 Reorder the terms: 9(-1 + 3n) = (7n + 9) + 5 (-1 * 9 + 3n * 9) = (7n + 9) + 5 (-9 + 27n) = (7n + 9) + 5 Reorder the terms: -9 + 27n = (9 + 7n) + 5 Remove parenthesis around (9 + 7n) -9 + 27n = 9 + 7n + 5 Reorder the terms: -9 + 27n = 9 + 5 + 7n Combine like terms: 9 + 5 = 14 -9 + 27n = 14 + 7n Solving -9 + 27n = 14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -9 + 27n + -7n = 14 + 7n + -7n Combine like terms: 27n + -7n = 20n -9 + 20n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 -9 + 20n = 14 + 0 -9 + 20n = 14 Add '9' to each side of the equation. -9 + 9 + 20n = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 20n = 14 + 9 20n = 14 + 9 Combine like terms: 14 + 9 = 23 20n = 23 Divide each side by '20'. n = 1.15 Simplifying n = 1.15
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