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Simplifying 1 + -8n = 3n + 1 Reorder the terms: 1 + -8n = 1 + 3n Add '-1' to each side of the equation. 1 + -1 + -8n = 1 + -1 + 3n Combine like terms: 1 + -1 = 0 0 + -8n = 1 + -1 + 3n -8n = 1 + -1 + 3n Combine like terms: 1 + -1 = 0 -8n = 0 + 3n -8n = 3n Solving -8n = 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. -8n + -3n = 3n + -3n Combine like terms: -8n + -3n = -11n -11n = 3n + -3n Combine like terms: 3n + -3n = 0 -11n = 0 Divide each side by '-11'. n = 0 Simplifying n = 0
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