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