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Simplifying 3n + n + 100 = 8n + 24 Reorder the terms: 100 + 3n + n = 8n + 24 Combine like terms: 3n + n = 4n 100 + 4n = 8n + 24 Reorder the terms: 100 + 4n = 24 + 8n Solving 100 + 4n = 24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 100 + 4n + -8n = 24 + 8n + -8n Combine like terms: 4n + -8n = -4n 100 + -4n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 100 + -4n = 24 + 0 100 + -4n = 24 Add '-100' to each side of the equation. 100 + -100 + -4n = 24 + -100 Combine like terms: 100 + -100 = 0 0 + -4n = 24 + -100 -4n = 24 + -100 Combine like terms: 24 + -100 = -76 -4n = -76 Divide each side by '-4'. n = 19 Simplifying n = 19
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