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Simplifying 0.6k + -0.1k = 0.125k + 1 Combine like terms: 0.6k + -0.1k = 0.5k 0.5k = 0.125k + 1 Reorder the terms: 0.5k = 1 + 0.125k Solving 0.5k = 1 + 0.125k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.125k' to each side of the equation. 0.5k + -0.125k = 1 + 0.125k + -0.125k Combine like terms: 0.5k + -0.125k = 0.375k 0.375k = 1 + 0.125k + -0.125k Combine like terms: 0.125k + -0.125k = 0.000 0.375k = 1 + 0.000 0.375k = 1 Divide each side by '0.375'. k = 2.666666667 Simplifying k = 2.666666667
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