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Simplifying 0.6k + -0.3k = 0.5k + 0.4 Combine like terms: 0.6k + -0.3k = 0.3k 0.3k = 0.5k + 0.4 Reorder the terms: 0.3k = 0.4 + 0.5k Solving 0.3k = 0.4 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. 0.3k + -0.5k = 0.4 + 0.5k + -0.5k Combine like terms: 0.3k + -0.5k = -0.2k -0.2k = 0.4 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 -0.2k = 0.4 + 0.0 -0.2k = 0.4 Divide each side by '-0.2'. k = -2 Simplifying k = -2
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