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Simplifying 3(4 + 6n) + 2(2 + 4n) = 0 (4 * 3 + 6n * 3) + 2(2 + 4n) = 0 (12 + 18n) + 2(2 + 4n) = 0 12 + 18n + (2 * 2 + 4n * 2) = 0 12 + 18n + (4 + 8n) = 0 Reorder the terms: 12 + 4 + 18n + 8n = 0 Combine like terms: 12 + 4 = 16 16 + 18n + 8n = 0 Combine like terms: 18n + 8n = 26n 16 + 26n = 0 Solving 16 + 26n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 26n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 26n = 0 + -16 26n = 0 + -16 Combine like terms: 0 + -16 = -16 26n = -16 Divide each side by '26'. n = -0.6153846154 Simplifying n = -0.6153846154
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