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Simplifying 41n + 18 = 49n + 42 Reorder the terms: 18 + 41n = 49n + 42 Reorder the terms: 18 + 41n = 42 + 49n Solving 18 + 41n = 42 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 18 + 41n + -49n = 42 + 49n + -49n Combine like terms: 41n + -49n = -8n 18 + -8n = 42 + 49n + -49n Combine like terms: 49n + -49n = 0 18 + -8n = 42 + 0 18 + -8n = 42 Add '-18' to each side of the equation. 18 + -18 + -8n = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -8n = 42 + -18 -8n = 42 + -18 Combine like terms: 42 + -18 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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