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Simplifying 5(-2n + 4) + 2(n + 5) = 0 Reorder the terms: 5(4 + -2n) + 2(n + 5) = 0 (4 * 5 + -2n * 5) + 2(n + 5) = 0 (20 + -10n) + 2(n + 5) = 0 Reorder the terms: 20 + -10n + 2(5 + n) = 0 20 + -10n + (5 * 2 + n * 2) = 0 20 + -10n + (10 + 2n) = 0 Reorder the terms: 20 + 10 + -10n + 2n = 0 Combine like terms: 20 + 10 = 30 30 + -10n + 2n = 0 Combine like terms: -10n + 2n = -8n 30 + -8n = 0 Solving 30 + -8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -8n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -8n = 0 + -30 -8n = 0 + -30 Combine like terms: 0 + -30 = -30 -8n = -30 Divide each side by '-8'. n = 3.75 Simplifying n = 3.75
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