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Simplifying 4 + 7(1 + -8k) = 17 4 + (1 * 7 + -8k * 7) = 17 4 + (7 + -56k) = 17 Combine like terms: 4 + 7 = 11 11 + -56k = 17 Solving 11 + -56k = 17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -56k = 17 + -11 Combine like terms: 11 + -11 = 0 0 + -56k = 17 + -11 -56k = 17 + -11 Combine like terms: 17 + -11 = 6 -56k = 6 Divide each side by '-56'. k = -0.1071428571 Simplifying k = -0.1071428571
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