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Simplifying 4.6n + 3.6n = 8n + 1.8n + 12.48 Combine like terms: 4.6n + 3.6n = 8.2n 8.2n = 8n + 1.8n + 12.48 Reorder the terms: 8.2n = 12.48 + 8n + 1.8n Combine like terms: 8n + 1.8n = 9.8n 8.2n = 12.48 + 9.8n Solving 8.2n = 12.48 + 9.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9.8n' to each side of the equation. 8.2n + -9.8n = 12.48 + 9.8n + -9.8n Combine like terms: 8.2n + -9.8n = -1.6n -1.6n = 12.48 + 9.8n + -9.8n Combine like terms: 9.8n + -9.8n = 0.0 -1.6n = 12.48 + 0.0 -1.6n = 12.48 Divide each side by '-1.6'. n = -7.8 Simplifying n = -7.8
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