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Simplifying 7n + 1 = 5n + 25 Reorder the terms: 1 + 7n = 5n + 25 Reorder the terms: 1 + 7n = 25 + 5n Solving 1 + 7n = 25 + 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. 1 + 7n + -5n = 25 + 5n + -5n Combine like terms: 7n + -5n = 2n 1 + 2n = 25 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + 2n = 25 + 0 1 + 2n = 25 Add '-1' to each side of the equation. 1 + -1 + 2n = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 25 + -1 2n = 25 + -1 Combine like terms: 25 + -1 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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