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Simplifying 4(2n + 6) + -2(3n + 7) = 0 Reorder the terms: 4(6 + 2n) + -2(3n + 7) = 0 (6 * 4 + 2n * 4) + -2(3n + 7) = 0 (24 + 8n) + -2(3n + 7) = 0 Reorder the terms: 24 + 8n + -2(7 + 3n) = 0 24 + 8n + (7 * -2 + 3n * -2) = 0 24 + 8n + (-14 + -6n) = 0 Reorder the terms: 24 + -14 + 8n + -6n = 0 Combine like terms: 24 + -14 = 10 10 + 8n + -6n = 0 Combine like terms: 8n + -6n = 2n 10 + 2n = 0 Solving 10 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 0 + -10 2n = 0 + -10 Combine like terms: 0 + -10 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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