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Simplifying 0.66k + -8 = 0.25k + 2 Reorder the terms: -8 + 0.66k = 0.25k + 2 Reorder the terms: -8 + 0.66k = 2 + 0.25k Solving -8 + 0.66k = 2 + 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. -8 + 0.66k + -0.25k = 2 + 0.25k + -0.25k Combine like terms: 0.66k + -0.25k = 0.41k -8 + 0.41k = 2 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 -8 + 0.41k = 2 + 0.00 -8 + 0.41k = 2 Add '8' to each side of the equation. -8 + 8 + 0.41k = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 0.41k = 2 + 8 0.41k = 2 + 8 Combine like terms: 2 + 8 = 10 0.41k = 10 Divide each side by '0.41'. k = 24.3902439 Simplifying k = 24.3902439
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