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Simplifying 7k + -1(5k + -11) = 0 Reorder the terms: 7k + -1(-11 + 5k) = 0 7k + (-11 * -1 + 5k * -1) = 0 7k + (11 + -5k) = 0 Reorder the terms: 11 + 7k + -5k = 0 Combine like terms: 7k + -5k = 2k 11 + 2k = 0 Solving 11 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2k = 0 + -11 2k = 0 + -11 Combine like terms: 0 + -11 = -11 2k = -11 Divide each side by '2'. k = -5.5 Simplifying k = -5.5
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