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Simplifying 4n + -9 + -2n = -6n + -41 Reorder the terms: -9 + 4n + -2n = -6n + -41 Combine like terms: 4n + -2n = 2n -9 + 2n = -6n + -41 Reorder the terms: -9 + 2n = -41 + -6n Solving -9 + 2n = -41 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -9 + 2n + 6n = -41 + -6n + 6n Combine like terms: 2n + 6n = 8n -9 + 8n = -41 + -6n + 6n Combine like terms: -6n + 6n = 0 -9 + 8n = -41 + 0 -9 + 8n = -41 Add '9' to each side of the equation. -9 + 9 + 8n = -41 + 9 Combine like terms: -9 + 9 = 0 0 + 8n = -41 + 9 8n = -41 + 9 Combine like terms: -41 + 9 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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