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Simplifying 2n + 41 = 5n + -1 Reorder the terms: 41 + 2n = 5n + -1 Reorder the terms: 41 + 2n = -1 + 5n Solving 41 + 2n = -1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 41 + 2n + -5n = -1 + 5n + -5n Combine like terms: 2n + -5n = -3n 41 + -3n = -1 + 5n + -5n Combine like terms: 5n + -5n = 0 41 + -3n = -1 + 0 41 + -3n = -1 Add '-41' to each side of the equation. 41 + -41 + -3n = -1 + -41 Combine like terms: 41 + -41 = 0 0 + -3n = -1 + -41 -3n = -1 + -41 Combine like terms: -1 + -41 = -42 -3n = -42 Divide each side by '-3'. n = 14 Simplifying n = 14
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