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Simplifying 0.25k + 9.2 + -0.10k = 19.40 Reorder the terms: 9.2 + 0.25k + -0.10k = 19.40 Combine like terms: 0.25k + -0.10k = 0.15k 9.2 + 0.15k = 19.40 Solving 9.2 + 0.15k = 19.40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.2' to each side of the equation. 9.2 + -9.2 + 0.15k = 19.40 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 0.15k = 19.40 + -9.2 0.15k = 19.40 + -9.2 Combine like terms: 19.40 + -9.2 = 10.2 0.15k = 10.2 Divide each side by '0.15'. k = 68 Simplifying k = 68
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