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Simplifying 5(2n + 5) = 50 + 5n Reorder the terms: 5(5 + 2n) = 50 + 5n (5 * 5 + 2n * 5) = 50 + 5n (25 + 10n) = 50 + 5n Solving 25 + 10n = 50 + 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 + 10n + -5n = 50 + 5n + -5n Combine like terms: 10n + -5n = 5n 25 + 5n = 50 + 5n + -5n Combine like terms: 5n + -5n = 0 25 + 5n = 50 + 0 25 + 5n = 50 Add '-25' to each side of the equation. 25 + -25 + 5n = 50 + -25 Combine like terms: 25 + -25 = 0 0 + 5n = 50 + -25 5n = 50 + -25 Combine like terms: 50 + -25 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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