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Simplifying 0.4k + 4 + -0.2k = -9 Reorder the terms: 4 + 0.4k + -0.2k = -9 Combine like terms: 0.4k + -0.2k = 0.2k 4 + 0.2k = -9 Solving 4 + 0.2k = -9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.2k = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2k = -9 + -4 0.2k = -9 + -4 Combine like terms: -9 + -4 = -13 0.2k = -13 Divide each side by '0.2'. k = -65 Simplifying k = -65
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