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Simplifying 5(2n + -5) = 8n + 5 Reorder the terms: 5(-5 + 2n) = 8n + 5 (-5 * 5 + 2n * 5) = 8n + 5 (-25 + 10n) = 8n + 5 Reorder the terms: -25 + 10n = 5 + 8n Solving -25 + 10n = 5 + 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. -25 + 10n + -8n = 5 + 8n + -8n Combine like terms: 10n + -8n = 2n -25 + 2n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 -25 + 2n = 5 + 0 -25 + 2n = 5 Add '25' to each side of the equation. -25 + 25 + 2n = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 2n = 5 + 25 2n = 5 + 25 Combine like terms: 5 + 25 = 30 2n = 30 Divide each side by '2'. n = 15 Simplifying n = 15
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