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Simplifying 0.42 = 0.17 + 5k Solving 0.42 = 0.17 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 0.42 + -5k = 0.17 + 5k + -5k Combine like terms: 5k + -5k = 0 0.42 + -5k = 0.17 + 0 0.42 + -5k = 0.17 Add '-0.42' to each side of the equation. 0.42 + -0.42 + -5k = 0.17 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + -5k = 0.17 + -0.42 -5k = 0.17 + -0.42 Combine like terms: 0.17 + -0.42 = -0.25 -5k = -0.25 Divide each side by '-5'. k = 0.05 Simplifying k = 0.05
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