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Simplifying 5n + 50 = 8n + 14 Reorder the terms: 50 + 5n = 8n + 14 Reorder the terms: 50 + 5n = 14 + 8n Solving 50 + 5n = 14 + 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. 50 + 5n + -8n = 14 + 8n + -8n Combine like terms: 5n + -8n = -3n 50 + -3n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 50 + -3n = 14 + 0 50 + -3n = 14 Add '-50' to each side of the equation. 50 + -50 + -3n = 14 + -50 Combine like terms: 50 + -50 = 0 0 + -3n = 14 + -50 -3n = 14 + -50 Combine like terms: 14 + -50 = -36 -3n = -36 Divide each side by '-3'. n = 12 Simplifying n = 12
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