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Simplifying -12n + -18n + 9(4n + 3) = 0 Reorder the terms: -12n + -18n + 9(3 + 4n) = 0 -12n + -18n + (3 * 9 + 4n * 9) = 0 -12n + -18n + (27 + 36n) = 0 Reorder the terms: 27 + -12n + -18n + 36n = 0 Combine like terms: -12n + -18n = -30n 27 + -30n + 36n = 0 Combine like terms: -30n + 36n = 6n 27 + 6n = 0 Solving 27 + 6n = 0 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 + 6n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6n = 0 + -27 6n = 0 + -27 Combine like terms: 0 + -27 = -27 6n = -27 Divide each side by '6'. n = -4.5 Simplifying n = -4.5
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