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Simplifying 7(8k + 4) = 17 + 9k Reorder the terms: 7(4 + 8k) = 17 + 9k (4 * 7 + 8k * 7) = 17 + 9k (28 + 56k) = 17 + 9k Solving 28 + 56k = 17 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 28 + 56k + -9k = 17 + 9k + -9k Combine like terms: 56k + -9k = 47k 28 + 47k = 17 + 9k + -9k Combine like terms: 9k + -9k = 0 28 + 47k = 17 + 0 28 + 47k = 17 Add '-28' to each side of the equation. 28 + -28 + 47k = 17 + -28 Combine like terms: 28 + -28 = 0 0 + 47k = 17 + -28 47k = 17 + -28 Combine like terms: 17 + -28 = -11 47k = -11 Divide each side by '47'. k = -0.2340425532 Simplifying k = -0.2340425532
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