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Simplifying 2(4 + -5n) + -5(-8n + 5) = 13 (4 * 2 + -5n * 2) + -5(-8n + 5) = 13 (8 + -10n) + -5(-8n + 5) = 13 Reorder the terms: 8 + -10n + -5(5 + -8n) = 13 8 + -10n + (5 * -5 + -8n * -5) = 13 8 + -10n + (-25 + 40n) = 13 Reorder the terms: 8 + -25 + -10n + 40n = 13 Combine like terms: 8 + -25 = -17 -17 + -10n + 40n = 13 Combine like terms: -10n + 40n = 30n -17 + 30n = 13 Solving -17 + 30n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 30n = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 30n = 13 + 17 30n = 13 + 17 Combine like terms: 13 + 17 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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