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Simplifying 6(10 + 7k) = 0 (10 * 6 + 7k * 6) = 0 (60 + 42k) = 0 Solving 60 + 42k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 42k = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 42k = 0 + -60 42k = 0 + -60 Combine like terms: 0 + -60 = -60 42k = -60 Divide each side by '42'. k = -1.428571429 Simplifying k = -1.428571429
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