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Simplifying 0.857142(k + 8) = 24 Reorder the terms: 0.857142(8 + k) = 24 (8 * 0.857142 + k * 0.857142) = 24 (6.857136 + 0.857142k) = 24 Solving 6.857136 + 0.857142k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.857136' to each side of the equation. 6.857136 + -6.857136 + 0.857142k = 24 + -6.857136 Combine like terms: 6.857136 + -6.857136 = 0.000000 0.000000 + 0.857142k = 24 + -6.857136 0.857142k = 24 + -6.857136 Combine like terms: 24 + -6.857136 = 17.142864 0.857142k = 17.142864 Divide each side by '0.857142'. k = 20.000028 Simplifying k = 20.000028
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