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Simplifying [k + 7] * 2 = 289 Reorder the terms: [7 + k] * 2 = 289 Reorder the terms for easier multiplication: 2[7 + k] = 289 [7 * 2 + k * 2] = 289 [14 + 2k] = 289 Solving 14 + 2k = 289 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2k = 289 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 289 + -14 2k = 289 + -14 Combine like terms: 289 + -14 = 275 2k = 275 Divide each side by '2'. k = 137.5 Simplifying k = 137.5
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