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Simplifying 9(3n + -2) = (7n + 9) + 8 Reorder the terms: 9(-2 + 3n) = (7n + 9) + 8 (-2 * 9 + 3n * 9) = (7n + 9) + 8 (-18 + 27n) = (7n + 9) + 8 Reorder the terms: -18 + 27n = (9 + 7n) + 8 Remove parenthesis around (9 + 7n) -18 + 27n = 9 + 7n + 8 Reorder the terms: -18 + 27n = 9 + 8 + 7n Combine like terms: 9 + 8 = 17 -18 + 27n = 17 + 7n Solving -18 + 27n = 17 + 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. -18 + 27n + -7n = 17 + 7n + -7n Combine like terms: 27n + -7n = 20n -18 + 20n = 17 + 7n + -7n Combine like terms: 7n + -7n = 0 -18 + 20n = 17 + 0 -18 + 20n = 17 Add '18' to each side of the equation. -18 + 18 + 20n = 17 + 18 Combine like terms: -18 + 18 = 0 0 + 20n = 17 + 18 20n = 17 + 18 Combine like terms: 17 + 18 = 35 20n = 35 Divide each side by '20'. n = 1.75 Simplifying n = 1.75
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