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Simplifying 5k + -1(12k + -6) = 0 Reorder the terms: 5k + -1(-6 + 12k) = 0 5k + (-6 * -1 + 12k * -1) = 0 5k + (6 + -12k) = 0 Reorder the terms: 6 + 5k + -12k = 0 Combine like terms: 5k + -12k = -7k 6 + -7k = 0 Solving 6 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = 0 + -6 -7k = 0 + -6 Combine like terms: 0 + -6 = -6 -7k = -6 Divide each side by '-7'. k = 0.8571428571 Simplifying k = 0.8571428571
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