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Simplifying 0.2k + -0.6 + 0.1k = 0 Reorder the terms: -0.6 + 0.2k + 0.1k = 0 Combine like terms: 0.2k + 0.1k = 0.3k -0.6 + 0.3k = 0 Solving -0.6 + 0.3k = 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 + 0.3k = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.3k = 0 + 0.6 0.3k = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 0.3k = 0.6 Divide each side by '0.3'. k = 2 Simplifying k = 2
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