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Simplifying 5 + 14n + -1 = 8n + 37 + -5n Reorder the terms: 5 + -1 + 14n = 8n + 37 + -5n Combine like terms: 5 + -1 = 4 4 + 14n = 8n + 37 + -5n Reorder the terms: 4 + 14n = 37 + 8n + -5n Combine like terms: 8n + -5n = 3n 4 + 14n = 37 + 3n Solving 4 + 14n = 37 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 14n + -3n = 37 + 3n + -3n Combine like terms: 14n + -3n = 11n 4 + 11n = 37 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 11n = 37 + 0 4 + 11n = 37 Add '-4' to each side of the equation. 4 + -4 + 11n = 37 + -4 Combine like terms: 4 + -4 = 0 0 + 11n = 37 + -4 11n = 37 + -4 Combine like terms: 37 + -4 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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