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Simplifying 6(7k + 11) = 0 Reorder the terms: 6(11 + 7k) = 0 (11 * 6 + 7k * 6) = 0 (66 + 42k) = 0 Solving 66 + 42k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 42k = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 42k = 0 + -66 42k = 0 + -66 Combine like terms: 0 + -66 = -66 42k = -66 Divide each side by '42'. k = -1.571428571 Simplifying k = -1.571428571
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