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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 = 14 14 + 10n + -2n = 0 Combine like terms: 10n + -2n = 8n 14 + 8n = 0 Solving 14 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8n = 0 + -14 8n = 0 + -14 Combine like terms: 0 + -14 = -14 8n = -14 Divide each side by '8'. n = -1.75 Simplifying n = -1.75
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