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Simplifying -5n + 7(2 + 4n) = 83 -5n + (2 * 7 + 4n * 7) = 83 -5n + (14 + 28n) = 83 Reorder the terms: 14 + -5n + 28n = 83 Combine like terms: -5n + 28n = 23n 14 + 23n = 83 Solving 14 + 23n = 83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 23n = 83 + -14 Combine like terms: 14 + -14 = 0 0 + 23n = 83 + -14 23n = 83 + -14 Combine like terms: 83 + -14 = 69 23n = 69 Divide each side by '23'. n = 3 Simplifying n = 3
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