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Simplifying 4(5 + 5n) + 3 = 83 (5 * 4 + 5n * 4) + 3 = 83 (20 + 20n) + 3 = 83 Reorder the terms: 20 + 3 + 20n = 83 Combine like terms: 20 + 3 = 23 23 + 20n = 83 Solving 23 + 20n = 83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 20n = 83 + -23 Combine like terms: 23 + -23 = 0 0 + 20n = 83 + -23 20n = 83 + -23 Combine like terms: 83 + -23 = 60 20n = 60 Divide each side by '20'. n = 3 Simplifying n = 3
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