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Simplifying 9(2n + 3) = 117 Reorder the terms: 9(3 + 2n) = 117 (3 * 9 + 2n * 9) = 117 (27 + 18n) = 117 Solving 27 + 18n = 117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 18n = 117 + -27 Combine like terms: 27 + -27 = 0 0 + 18n = 117 + -27 18n = 117 + -27 Combine like terms: 117 + -27 = 90 18n = 90 Divide each side by '18'. n = 5 Simplifying n = 5
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