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Simplifying 0.3k + -0.05 + 0.6k = 0.013 Reorder the terms: -0.05 + 0.3k + 0.6k = 0.013 Combine like terms: 0.3k + 0.6k = 0.9k -0.05 + 0.9k = 0.013 Solving -0.05 + 0.9k = 0.013 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + 0.9k = 0.013 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 0.9k = 0.013 + 0.05 0.9k = 0.013 + 0.05 Combine like terms: 0.013 + 0.05 = 0.063 0.9k = 0.063 Divide each side by '0.9'. k = 0.07 Simplifying k = 0.07
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