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Simplifying 11n + -3n + 4 = 2n + 40 Reorder the terms: 4 + 11n + -3n = 2n + 40 Combine like terms: 11n + -3n = 8n 4 + 8n = 2n + 40 Reorder the terms: 4 + 8n = 40 + 2n Solving 4 + 8n = 40 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + 8n + -2n = 40 + 2n + -2n Combine like terms: 8n + -2n = 6n 4 + 6n = 40 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 6n = 40 + 0 4 + 6n = 40 Add '-4' to each side of the equation. 4 + -4 + 6n = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 40 + -4 6n = 40 + -4 Combine like terms: 40 + -4 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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