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Simplifying 12.8 + -3n = 8n + -33.4 Reorder the terms: 12.8 + -3n = -33.4 + 8n Solving 12.8 + -3n = -33.4 + 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. 12.8 + -3n + -8n = -33.4 + 8n + -8n Combine like terms: -3n + -8n = -11n 12.8 + -11n = -33.4 + 8n + -8n Combine like terms: 8n + -8n = 0 12.8 + -11n = -33.4 + 0 12.8 + -11n = -33.4 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -11n = -33.4 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -11n = -33.4 + -12.8 -11n = -33.4 + -12.8 Combine like terms: -33.4 + -12.8 = -46.2 -11n = -46.2 Divide each side by '-11'. n = 4.2 Simplifying n = 4.2
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