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Simplifying 0.3k + 0.5 = 0.25k Reorder the terms: 0.5 + 0.3k = 0.25k Solving 0.5 + 0.3k = 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. 0.5 + 0.3k + -0.25k = 0.25k + -0.25k Combine like terms: 0.3k + -0.25k = 0.05k 0.5 + 0.05k = 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 0.5 + 0.05k = 0.00 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.05k = 0.00 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.05k = 0.00 + -0.5 0.05k = 0.00 + -0.5 Combine like terms: 0.00 + -0.5 = -0.5 0.05k = -0.5 Divide each side by '0.05'. k = -10 Simplifying k = -10
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