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Simplifying -5n + 41 = -9n + 5 Reorder the terms: 41 + -5n = -9n + 5 Reorder the terms: 41 + -5n = 5 + -9n Solving 41 + -5n = 5 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 41 + -5n + 9n = 5 + -9n + 9n Combine like terms: -5n + 9n = 4n 41 + 4n = 5 + -9n + 9n Combine like terms: -9n + 9n = 0 41 + 4n = 5 + 0 41 + 4n = 5 Add '-41' to each side of the equation. 41 + -41 + 4n = 5 + -41 Combine like terms: 41 + -41 = 0 0 + 4n = 5 + -41 4n = 5 + -41 Combine like terms: 5 + -41 = -36 4n = -36 Divide each side by '4'. n = -9 Simplifying n = -9
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