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Simplifying 24 = 0.86(k + 8) Reorder the terms: 24 = 0.86(8 + k) 24 = (8 * 0.86 + k * 0.86) 24 = (6.88 + 0.86k) Solving 24 = 6.88 + 0.86k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.86k' to each side of the equation. 24 + -0.86k = 6.88 + 0.86k + -0.86k Combine like terms: 0.86k + -0.86k = 0.00 24 + -0.86k = 6.88 + 0.00 24 + -0.86k = 6.88 Add '-24' to each side of the equation. 24 + -24 + -0.86k = 6.88 + -24 Combine like terms: 24 + -24 = 0 0 + -0.86k = 6.88 + -24 -0.86k = 6.88 + -24 Combine like terms: 6.88 + -24 = -17.12 -0.86k = -17.12 Divide each side by '-0.86'. k = 19.90697674 Simplifying k = 19.90697674
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