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Simplifying 8 + -5n + 15 = 3n + -17 Reorder the terms: 8 + 15 + -5n = 3n + -17 Combine like terms: 8 + 15 = 23 23 + -5n = 3n + -17 Reorder the terms: 23 + -5n = -17 + 3n Solving 23 + -5n = -17 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 23 + -5n + -3n = -17 + 3n + -3n Combine like terms: -5n + -3n = -8n 23 + -8n = -17 + 3n + -3n Combine like terms: 3n + -3n = 0 23 + -8n = -17 + 0 23 + -8n = -17 Add '-23' to each side of the equation. 23 + -23 + -8n = -17 + -23 Combine like terms: 23 + -23 = 0 0 + -8n = -17 + -23 -8n = -17 + -23 Combine like terms: -17 + -23 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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