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Simplifying 4(n + 2) + 3(2n + 6) = 0 Reorder the terms: 4(2 + n) + 3(2n + 6) = 0 (2 * 4 + n * 4) + 3(2n + 6) = 0 (8 + 4n) + 3(2n + 6) = 0 Reorder the terms: 8 + 4n + 3(6 + 2n) = 0 8 + 4n + (6 * 3 + 2n * 3) = 0 8 + 4n + (18 + 6n) = 0 Reorder the terms: 8 + 18 + 4n + 6n = 0 Combine like terms: 8 + 18 = 26 26 + 4n + 6n = 0 Combine like terms: 4n + 6n = 10n 26 + 10n = 0 Solving 26 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 10n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 10n = 0 + -26 10n = 0 + -26 Combine like terms: 0 + -26 = -26 10n = -26 Divide each side by '10'. n = -2.6 Simplifying n = -2.6
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