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Simplifying 5n + 1 = 3n + 13 Reorder the terms: 1 + 5n = 3n + 13 Reorder the terms: 1 + 5n = 13 + 3n Solving 1 + 5n = 13 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 1 + 5n + -3n = 13 + 3n + -3n Combine like terms: 5n + -3n = 2n 1 + 2n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 2n = 13 + 0 1 + 2n = 13 Add '-1' to each side of the equation. 1 + -1 + 2n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 13 + -1 2n = 13 + -1 Combine like terms: 13 + -1 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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