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Simplifying 9(3n + -2) = 117 Reorder the terms: 9(-2 + 3n) = 117 (-2 * 9 + 3n * 9) = 117 (-18 + 27n) = 117 Solving -18 + 27n = 117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 27n = 117 + 18 Combine like terms: -18 + 18 = 0 0 + 27n = 117 + 18 27n = 117 + 18 Combine like terms: 117 + 18 = 135 27n = 135 Divide each side by '27'. n = 5 Simplifying n = 5
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