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Simplifying 10n + 17 = 2n + 52 Reorder the terms: 17 + 10n = 2n + 52 Reorder the terms: 17 + 10n = 52 + 2n Solving 17 + 10n = 52 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 17 + 10n + -2n = 52 + 2n + -2n Combine like terms: 10n + -2n = 8n 17 + 8n = 52 + 2n + -2n Combine like terms: 2n + -2n = 0 17 + 8n = 52 + 0 17 + 8n = 52 Add '-17' to each side of the equation. 17 + -17 + 8n = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 8n = 52 + -17 8n = 52 + -17 Combine like terms: 52 + -17 = 35 8n = 35 Divide each side by '8'. n = 4.375 Simplifying n = 4.375
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