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Simplifying 4n + -9 = 8n + -41 Reorder the terms: -9 + 4n = 8n + -41 Reorder the terms: -9 + 4n = -41 + 8n Solving -9 + 4n = -41 + 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. -9 + 4n + -8n = -41 + 8n + -8n Combine like terms: 4n + -8n = -4n -9 + -4n = -41 + 8n + -8n Combine like terms: 8n + -8n = 0 -9 + -4n = -41 + 0 -9 + -4n = -41 Add '9' to each side of the equation. -9 + 9 + -4n = -41 + 9 Combine like terms: -9 + 9 = 0 0 + -4n = -41 + 9 -4n = -41 + 9 Combine like terms: -41 + 9 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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