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Simplifying 25 + 7n = 5(n + 7) Reorder the terms: 25 + 7n = 5(7 + n) 25 + 7n = (7 * 5 + n * 5) 25 + 7n = (35 + 5n) Solving 25 + 7n = 35 + 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. 25 + 7n + -5n = 35 + 5n + -5n Combine like terms: 7n + -5n = 2n 25 + 2n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 25 + 2n = 35 + 0 25 + 2n = 35 Add '-25' to each side of the equation. 25 + -25 + 2n = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 2n = 35 + -25 2n = 35 + -25 Combine like terms: 35 + -25 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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