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Simplifying 7(8 + 2k) = 182 (8 * 7 + 2k * 7) = 182 (56 + 14k) = 182 Solving 56 + 14k = 182 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 14k = 182 + -56 Combine like terms: 56 + -56 = 0 0 + 14k = 182 + -56 14k = 182 + -56 Combine like terms: 182 + -56 = 126 14k = 126 Divide each side by '14'. k = 9 Simplifying k = 9
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