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Simplifying 12(14 + n) + 5(-2n + -9) = 18 (14 * 12 + n * 12) + 5(-2n + -9) = 18 (168 + 12n) + 5(-2n + -9) = 18 Reorder the terms: 168 + 12n + 5(-9 + -2n) = 18 168 + 12n + (-9 * 5 + -2n * 5) = 18 168 + 12n + (-45 + -10n) = 18 Reorder the terms: 168 + -45 + 12n + -10n = 18 Combine like terms: 168 + -45 = 123 123 + 12n + -10n = 18 Combine like terms: 12n + -10n = 2n 123 + 2n = 18 Solving 123 + 2n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-123' to each side of the equation. 123 + -123 + 2n = 18 + -123 Combine like terms: 123 + -123 = 0 0 + 2n = 18 + -123 2n = 18 + -123 Combine like terms: 18 + -123 = -105 2n = -105 Divide each side by '2'. n = -52.5 Simplifying n = -52.5
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