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Simplifying 3(n + 7) + -4 = 0.5n + 8n + 17 Reorder the terms: 3(7 + n) + -4 = 0.5n + 8n + 17 (7 * 3 + n * 3) + -4 = 0.5n + 8n + 17 (21 + 3n) + -4 = 0.5n + 8n + 17 Reorder the terms: 21 + -4 + 3n = 0.5n + 8n + 17 Combine like terms: 21 + -4 = 17 17 + 3n = 0.5n + 8n + 17 Reorder the terms: 17 + 3n = 17 + 0.5n + 8n Combine like terms: 0.5n + 8n = 8.5n 17 + 3n = 17 + 8.5n Add '-17' to each side of the equation. 17 + -17 + 3n = 17 + -17 + 8.5n Combine like terms: 17 + -17 = 0 0 + 3n = 17 + -17 + 8.5n 3n = 17 + -17 + 8.5n Combine like terms: 17 + -17 = 0 3n = 0 + 8.5n 3n = 8.5n Solving 3n = 8.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8.5n' to each side of the equation. 3n + -8.5n = 8.5n + -8.5n Combine like terms: 3n + -8.5n = -5.5n -5.5n = 8.5n + -8.5n Combine like terms: 8.5n + -8.5n = 0.0 -5.5n = 0.0 Divide each side by '-5.5'. n = 0 Simplifying n = 0
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