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Simplifying 7n + -3.2n + 6.5 = 14.1 Reorder the terms: 6.5 + 7n + -3.2n = 14.1 Combine like terms: 7n + -3.2n = 3.8n 6.5 + 3.8n = 14.1 Solving 6.5 + 3.8n = 14.1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 3.8n = 14.1 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 3.8n = 14.1 + -6.5 3.8n = 14.1 + -6.5 Combine like terms: 14.1 + -6.5 = 7.6 3.8n = 7.6 Divide each side by '3.8'. n = 2 Simplifying n = 2
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