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Simplifying -15.5n + 17.23 + 5n = -12.8n + -11.06 Reorder the terms: 17.23 + -15.5n + 5n = -12.8n + -11.06 Combine like terms: -15.5n + 5n = -10.5n 17.23 + -10.5n = -12.8n + -11.06 Reorder the terms: 17.23 + -10.5n = -11.06 + -12.8n Solving 17.23 + -10.5n = -11.06 + -12.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12.8n' to each side of the equation. 17.23 + -10.5n + 12.8n = -11.06 + -12.8n + 12.8n Combine like terms: -10.5n + 12.8n = 2.3n 17.23 + 2.3n = -11.06 + -12.8n + 12.8n Combine like terms: -12.8n + 12.8n = 0.0 17.23 + 2.3n = -11.06 + 0.0 17.23 + 2.3n = -11.06 Add '-17.23' to each side of the equation. 17.23 + -17.23 + 2.3n = -11.06 + -17.23 Combine like terms: 17.23 + -17.23 = 0.00 0.00 + 2.3n = -11.06 + -17.23 2.3n = -11.06 + -17.23 Combine like terms: -11.06 + -17.23 = -28.29 2.3n = -28.29 Divide each side by '2.3'. n = -12.3 Simplifying n = -12.3
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