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Simplifying 7n + 13 = 5n + 39 Reorder the terms: 13 + 7n = 5n + 39 Reorder the terms: 13 + 7n = 39 + 5n Solving 13 + 7n = 39 + 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. 13 + 7n + -5n = 39 + 5n + -5n Combine like terms: 7n + -5n = 2n 13 + 2n = 39 + 5n + -5n Combine like terms: 5n + -5n = 0 13 + 2n = 39 + 0 13 + 2n = 39 Add '-13' to each side of the equation. 13 + -13 + 2n = 39 + -13 Combine like terms: 13 + -13 = 0 0 + 2n = 39 + -13 2n = 39 + -13 Combine like terms: 39 + -13 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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