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Simplifying 2n + 9 = 41 + -2n Reorder the terms: 9 + 2n = 41 + -2n Solving 9 + 2n = 41 + -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. 9 + 2n + 2n = 41 + -2n + 2n Combine like terms: 2n + 2n = 4n 9 + 4n = 41 + -2n + 2n Combine like terms: -2n + 2n = 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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