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Simplifying -2.5n + 19.32 + 17.8n = 5.5n + -19.88 Reorder the terms: 19.32 + -2.5n + 17.8n = 5.5n + -19.88 Combine like terms: -2.5n + 17.8n = 15.3n 19.32 + 15.3n = 5.5n + -19.88 Reorder the terms: 19.32 + 15.3n = -19.88 + 5.5n Solving 19.32 + 15.3n = -19.88 + 5.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.5n' to each side of the equation. 19.32 + 15.3n + -5.5n = -19.88 + 5.5n + -5.5n Combine like terms: 15.3n + -5.5n = 9.8n 19.32 + 9.8n = -19.88 + 5.5n + -5.5n Combine like terms: 5.5n + -5.5n = 0.0 19.32 + 9.8n = -19.88 + 0.0 19.32 + 9.8n = -19.88 Add '-19.32' to each side of the equation. 19.32 + -19.32 + 9.8n = -19.88 + -19.32 Combine like terms: 19.32 + -19.32 = 0.00 0.00 + 9.8n = -19.88 + -19.32 9.8n = -19.88 + -19.32 Combine like terms: -19.88 + -19.32 = -39.2 9.8n = -39.2 Divide each side by '9.8'. n = -4 Simplifying n = -4
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