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Simplifying 9n + 11 = 41 + -6n Reorder the terms: 11 + 9n = 41 + -6n Solving 11 + 9n = 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. 11 + 9n + 6n = 41 + -6n + 6n Combine like terms: 9n + 6n = 15n 11 + 15n = 41 + -6n + 6n Combine like terms: -6n + 6n = 0 11 + 15n = 41 + 0 11 + 15n = 41 Add '-11' to each side of the equation. 11 + -11 + 15n = 41 + -11 Combine like terms: 11 + -11 = 0 0 + 15n = 41 + -11 15n = 41 + -11 Combine like terms: 41 + -11 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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