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Simplifying 0.5k = 0.75k + -0.5 Reorder the terms: 0.5k = -0.5 + 0.75k Solving 0.5k = -0.5 + 0.75k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.75k' to each side of the equation. 0.5k + -0.75k = -0.5 + 0.75k + -0.75k Combine like terms: 0.5k + -0.75k = -0.25k -0.25k = -0.5 + 0.75k + -0.75k Combine like terms: 0.75k + -0.75k = 0.00 -0.25k = -0.5 + 0.00 -0.25k = -0.5 Divide each side by '-0.25'. k = 2 Simplifying k = 2
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