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Simplifying 3n + 6 = 22 + -8n Reorder the terms: 6 + 3n = 22 + -8n Solving 6 + 3n = 22 + -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. 6 + 3n + 8n = 22 + -8n + 8n Combine like terms: 3n + 8n = 11n 6 + 11n = 22 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + 11n = 22 + 0 6 + 11n = 22 Add '-6' to each side of the equation. 6 + -6 + 11n = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 11n = 22 + -6 11n = 22 + -6 Combine like terms: 22 + -6 = 16 11n = 16 Divide each side by '11'. n = 1.454545455 Simplifying n = 1.454545455
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