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Simplifying -1k + -11(-1k + -0.001) = 0 Reorder the terms: -1k + -11(-0.001 + -1k) = 0 -1k + (-0.001 * -11 + -1k * -11) = 0 -1k + (0.011 + 11k) = 0 Reorder the terms: 0.011 + -1k + 11k = 0 Combine like terms: -1k + 11k = 10k 0.011 + 10k = 0 Solving 0.011 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.011' to each side of the equation. 0.011 + -0.011 + 10k = 0 + -0.011 Combine like terms: 0.011 + -0.011 = 0.000 0.000 + 10k = 0 + -0.011 10k = 0 + -0.011 Combine like terms: 0 + -0.011 = -0.011 10k = -0.011 Divide each side by '10'. k = -0.0011 Simplifying k = -0.0011
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