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Simplifying 0.25k = 3(-0.25k + 3) Reorder the terms: 0.25k = 3(3 + -0.25k) 0.25k = (3 * 3 + -0.25k * 3) 0.25k = (9 + -0.75k) Solving 0.25k = 9 + -0.75k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.75k' to each side of the equation. 0.25k + 0.75k = 9 + -0.75k + 0.75k Combine like terms: 0.25k + 0.75k = 1k 1k = 9 + -0.75k + 0.75k Combine like terms: -0.75k + 0.75k = 0.00 1k = 9 + 0.00 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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