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Simplifying 21n + 12 = 8n + 278.5 Reorder the terms: 12 + 21n = 8n + 278.5 Reorder the terms: 12 + 21n = 278.5 + 8n Solving 12 + 21n = 278.5 + 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. 12 + 21n + -8n = 278.5 + 8n + -8n Combine like terms: 21n + -8n = 13n 12 + 13n = 278.5 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + 13n = 278.5 + 0 12 + 13n = 278.5 Add '-12' to each side of the equation. 12 + -12 + 13n = 278.5 + -12 Combine like terms: 12 + -12 = 0 0 + 13n = 278.5 + -12 13n = 278.5 + -12 Combine like terms: 278.5 + -12 = 266.5 13n = 266.5 Divide each side by '13'. n = 20.5 Simplifying n = 20.5
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