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Simplifying 7 + 6.2n = 4.3n + 3(0.5n + 2.4) Reorder the terms: 7 + 6.2n = 4.3n + 3(2.4 + 0.5n) 7 + 6.2n = 4.3n + (2.4 * 3 + 0.5n * 3) 7 + 6.2n = 4.3n + (7.2 + 1.5n) Reorder the terms: 7 + 6.2n = 7.2 + 4.3n + 1.5n Combine like terms: 4.3n + 1.5n = 5.8n 7 + 6.2n = 7.2 + 5.8n Solving 7 + 6.2n = 7.2 + 5.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.8n' to each side of the equation. 7 + 6.2n + -5.8n = 7.2 + 5.8n + -5.8n Combine like terms: 6.2n + -5.8n = 0.4n 7 + 0.4n = 7.2 + 5.8n + -5.8n Combine like terms: 5.8n + -5.8n = 0.0 7 + 0.4n = 7.2 + 0.0 7 + 0.4n = 7.2 Add '-7' to each side of the equation. 7 + -7 + 0.4n = 7.2 + -7 Combine like terms: 7 + -7 = 0 0 + 0.4n = 7.2 + -7 0.4n = 7.2 + -7 Combine like terms: 7.2 + -7 = 0.2 0.4n = 0.2 Divide each side by '0.4'. n = 0.5 Simplifying n = 0.5
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