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Simplifying (k + 2) * 2 = 289 Reorder the terms: (2 + k) * 2 = 289 Reorder the terms for easier multiplication: 2(2 + k) = 289 (2 * 2 + k * 2) = 289 (4 + 2k) = 289 Solving 4 + 2k = 289 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2k = 289 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 289 + -4 2k = 289 + -4 Combine like terms: 289 + -4 = 285 2k = 285 Divide each side by '2'. k = 142.5 Simplifying k = 142.5
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