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Simplifying 15 + -1(6 + -7k) = 2 + 6 15 + (6 * -1 + -7k * -1) = 2 + 6 15 + (-6 + 7k) = 2 + 6 Combine like terms: 15 + -6 = 9 9 + 7k = 2 + 6 Combine like terms: 2 + 6 = 8 9 + 7k = 8 Solving 9 + 7k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7k = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 7k = 8 + -9 7k = 8 + -9 Combine like terms: 8 + -9 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429
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