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Simplifying 0.5k = 0.375k + -0.5 Reorder the terms: 0.5k = -0.5 + 0.375k Solving 0.5k = -0.5 + 0.375k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.375k' to each side of the equation. 0.5k + -0.375k = -0.5 + 0.375k + -0.375k Combine like terms: 0.5k + -0.375k = 0.125k 0.125k = -0.5 + 0.375k + -0.375k Combine like terms: 0.375k + -0.375k = 0.000 0.125k = -0.5 + 0.000 0.125k = -0.5 Divide each side by '0.125'. k = -4 Simplifying k = -4
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