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Simplifying 19 + -6(-1k + -2) = 0 Reorder the terms: 19 + -6(-2 + -1k) = 0 19 + (-2 * -6 + -1k * -6) = 0 19 + (12 + 6k) = 0 Combine like terms: 19 + 12 = 31 31 + 6k = 0 Solving 31 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 6k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 6k = 0 + -31 6k = 0 + -31 Combine like terms: 0 + -31 = -31 6k = -31 Divide each side by '6'. k = -5.166666667 Simplifying k = -5.166666667
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