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Simplifying 24(2 + n) + -3(4n + 6) = 0 (2 * 24 + n * 24) + -3(4n + 6) = 0 (48 + 24n) + -3(4n + 6) = 0 Reorder the terms: 48 + 24n + -3(6 + 4n) = 0 48 + 24n + (6 * -3 + 4n * -3) = 0 48 + 24n + (-18 + -12n) = 0 Reorder the terms: 48 + -18 + 24n + -12n = 0 Combine like terms: 48 + -18 = 30 30 + 24n + -12n = 0 Combine like terms: 24n + -12n = 12n 30 + 12n = 0 Solving 30 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 12n = 0 + -30 12n = 0 + -30 Combine like terms: 0 + -30 = -30 12n = -30 Divide each side by '12'. n = -2.5 Simplifying n = -2.5
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