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Simplifying -5(1 + -2n) = 8n + -15 (1 * -5 + -2n * -5) = 8n + -15 (-5 + 10n) = 8n + -15 Reorder the terms: -5 + 10n = -15 + 8n Solving -5 + 10n = -15 + 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. -5 + 10n + -8n = -15 + 8n + -8n Combine like terms: 10n + -8n = 2n -5 + 2n = -15 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + 2n = -15 + 0 -5 + 2n = -15 Add '5' to each side of the equation. -5 + 5 + 2n = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = -15 + 5 2n = -15 + 5 Combine like terms: -15 + 5 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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