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Simplifying 8n + 14 = 5n + 32 Reorder the terms: 14 + 8n = 5n + 32 Reorder the terms: 14 + 8n = 32 + 5n Solving 14 + 8n = 32 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 14 + 8n + -5n = 32 + 5n + -5n Combine like terms: 8n + -5n = 3n 14 + 3n = 32 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + 3n = 32 + 0 14 + 3n = 32 Add '-14' to each side of the equation. 14 + -14 + 3n = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = 32 + -14 3n = 32 + -14 Combine like terms: 32 + -14 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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