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Simplifying 5(4 + 2n) = -8n + 2 (4 * 5 + 2n * 5) = -8n + 2 (20 + 10n) = -8n + 2 Reorder the terms: 20 + 10n = 2 + -8n Solving 20 + 10n = 2 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 20 + 10n + 8n = 2 + -8n + 8n Combine like terms: 10n + 8n = 18n 20 + 18n = 2 + -8n + 8n Combine like terms: -8n + 8n = 0 20 + 18n = 2 + 0 20 + 18n = 2 Add '-20' to each side of the equation. 20 + -20 + 18n = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 18n = 2 + -20 18n = 2 + -20 Combine like terms: 2 + -20 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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