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Simplifying 5(2 + n) = 3(n + 5) (2 * 5 + n * 5) = 3(n + 5) (10 + 5n) = 3(n + 5) Reorder the terms: 10 + 5n = 3(5 + n) 10 + 5n = (5 * 3 + n * 3) 10 + 5n = (15 + 3n) Solving 10 + 5n = 15 + 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. 10 + 5n + -3n = 15 + 3n + -3n Combine like terms: 5n + -3n = 2n 10 + 2n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 2n = 15 + 0 10 + 2n = 15 Add '-10' to each side of the equation. 10 + -10 + 2n = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 15 + -10 2n = 15 + -10 Combine like terms: 15 + -10 = 5 2n = 5 Divide each side by '2'. n = 2.5 Simplifying n = 2.5
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