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Simplifying 2.27k + -0.27k + 0.6 = 0 Reorder the terms: 0.6 + 2.27k + -0.27k = 0 Combine like terms: 2.27k + -0.27k = 2k 0.6 + 2k = 0 Solving 0.6 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 2k = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 2k = 0 + -0.6 2k = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 2k = -0.6 Divide each side by '2'. k = -0.3 Simplifying k = -0.3
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