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Simplifying 8n + 1 = 9 + 4n Reorder the terms: 1 + 8n = 9 + 4n Solving 1 + 8n = 9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + 8n + -4n = 9 + 4n + -4n Combine like terms: 8n + -4n = 4n 1 + 4n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + 4n = 9 + 0 1 + 4n = 9 Add '-1' to each side of the equation. 1 + -1 + 4n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 9 + -1 4n = 9 + -1 Combine like terms: 9 + -1 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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