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Simplifying 7(5 + -8k) = 19 (5 * 7 + -8k * 7) = 19 (35 + -56k) = 19 Solving 35 + -56k = 19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -56k = 19 + -35 Combine like terms: 35 + -35 = 0 0 + -56k = 19 + -35 -56k = 19 + -35 Combine like terms: 19 + -35 = -16 -56k = -16 Divide each side by '-56'. k = 0.2857142857 Simplifying k = 0.2857142857
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