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Simplifying 8n + 6 = 4n + 46 Reorder the terms: 6 + 8n = 4n + 46 Reorder the terms: 6 + 8n = 46 + 4n Solving 6 + 8n = 46 + 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. 6 + 8n + -4n = 46 + 4n + -4n Combine like terms: 8n + -4n = 4n 6 + 4n = 46 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 4n = 46 + 0 6 + 4n = 46 Add '-6' to each side of the equation. 6 + -6 + 4n = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = 46 + -6 4n = 46 + -6 Combine like terms: 46 + -6 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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