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Simplifying 5(2n + 4) + 2(n + 3) = 0 Reorder the terms: 5(4 + 2n) + 2(n + 3) = 0 (4 * 5 + 2n * 5) + 2(n + 3) = 0 (20 + 10n) + 2(n + 3) = 0 Reorder the terms: 20 + 10n + 2(3 + n) = 0 20 + 10n + (3 * 2 + n * 2) = 0 20 + 10n + (6 + 2n) = 0 Reorder the terms: 20 + 6 + 10n + 2n = 0 Combine like terms: 20 + 6 = 26 26 + 10n + 2n = 0 Combine like terms: 10n + 2n = 12n 26 + 12n = 0 Solving 26 + 12n = 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 + 12n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 12n = 0 + -26 12n = 0 + -26 Combine like terms: 0 + -26 = -26 12n = -26 Divide each side by '12'. n = -2.166666667 Simplifying n = -2.166666667
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