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Simplifying 8k = (5k + 2) Reorder the terms: 8k = (2 + 5k) Remove parenthesis around (2 + 5k) 8k = 2 + 5k Solving 8k = 2 + 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. 8k + -5k = 2 + 5k + -5k Combine like terms: 8k + -5k = 3k 3k = 2 + 5k + -5k Combine like terms: 5k + -5k = 0 3k = 2 + 0 3k = 2 Divide each side by '3'. k = 0.6666666667 Simplifying k = 0.6666666667
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