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Simplifying 7k + -1(4k + -11) = 0 Reorder the terms: 7k + -1(-11 + 4k) = 0 7k + (-11 * -1 + 4k * -1) = 0 7k + (11 + -4k) = 0 Reorder the terms: 11 + 7k + -4k = 0 Combine like terms: 7k + -4k = 3k 11 + 3k = 0 Solving 11 + 3k = 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 + 3k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3k = 0 + -11 3k = 0 + -11 Combine like terms: 0 + -11 = -11 3k = -11 Divide each side by '3'. k = -3.666666667 Simplifying k = -3.666666667
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