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Simplifying 9n + 41 = 14n + -59 Reorder the terms: 41 + 9n = 14n + -59 Reorder the terms: 41 + 9n = -59 + 14n Solving 41 + 9n = -59 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 41 + 9n + -14n = -59 + 14n + -14n Combine like terms: 9n + -14n = -5n 41 + -5n = -59 + 14n + -14n Combine like terms: 14n + -14n = 0 41 + -5n = -59 + 0 41 + -5n = -59 Add '-41' to each side of the equation. 41 + -41 + -5n = -59 + -41 Combine like terms: 41 + -41 = 0 0 + -5n = -59 + -41 -5n = -59 + -41 Combine like terms: -59 + -41 = -100 -5n = -100 Divide each side by '-5'. n = 20 Simplifying n = 20
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