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Simplifying 14n + 17.16 = 0.42 + 7.8n Reorder the terms: 17.16 + 14n = 0.42 + 7.8n Solving 17.16 + 14n = 0.42 + 7.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.8n' to each side of the equation. 17.16 + 14n + -7.8n = 0.42 + 7.8n + -7.8n Combine like terms: 14n + -7.8n = 6.2n 17.16 + 6.2n = 0.42 + 7.8n + -7.8n Combine like terms: 7.8n + -7.8n = 0.0 17.16 + 6.2n = 0.42 + 0.0 17.16 + 6.2n = 0.42 Add '-17.16' to each side of the equation. 17.16 + -17.16 + 6.2n = 0.42 + -17.16 Combine like terms: 17.16 + -17.16 = 0.00 0.00 + 6.2n = 0.42 + -17.16 6.2n = 0.42 + -17.16 Combine like terms: 0.42 + -17.16 = -16.74 6.2n = -16.74 Divide each side by '6.2'. n = -2.7 Simplifying n = -2.7
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