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Simplifying 7n + 5 = 5(n + 5) Reorder the terms: 5 + 7n = 5(n + 5) Reorder the terms: 5 + 7n = 5(5 + n) 5 + 7n = (5 * 5 + n * 5) 5 + 7n = (25 + 5n) Solving 5 + 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. 5 + 7n + -5n = 25 + 5n + -5n Combine like terms: 7n + -5n = 2n 5 + 2n = 25 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 2n = 25 + 0 5 + 2n = 25 Add '-5' to each side of the equation. 5 + -5 + 2n = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 25 + -5 2n = 25 + -5 Combine like terms: 25 + -5 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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