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Simplifying 2(5n + 2) = 8n + -4 Reorder the terms: 2(2 + 5n) = 8n + -4 (2 * 2 + 5n * 2) = 8n + -4 (4 + 10n) = 8n + -4 Reorder the terms: 4 + 10n = -4 + 8n Solving 4 + 10n = -4 + 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. 4 + 10n + -8n = -4 + 8n + -8n Combine like terms: 10n + -8n = 2n 4 + 2n = -4 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + 2n = -4 + 0 4 + 2n = -4 Add '-4' to each side of the equation. 4 + -4 + 2n = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = -4 + -4 2n = -4 + -4 Combine like terms: -4 + -4 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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