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Simplifying 8(1 + -7k) = 16 (1 * 8 + -7k * 8) = 16 (8 + -56k) = 16 Solving 8 + -56k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -56k = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -56k = 16 + -8 -56k = 16 + -8 Combine like terms: 16 + -8 = 8 -56k = 8 Divide each side by '-56'. k = -0.1428571429 Simplifying k = -0.1428571429
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