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Simplifying 0.75k = 3(-0.75k + 3) Reorder the terms: 0.75k = 3(3 + -0.75k) 0.75k = (3 * 3 + -0.75k * 3) 0.75k = (9 + -2.25k) Solving 0.75k = 9 + -2.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.25k' to each side of the equation. 0.75k + 2.25k = 9 + -2.25k + 2.25k Combine like terms: 0.75k + 2.25k = 3k 3k = 9 + -2.25k + 2.25k Combine like terms: -2.25k + 2.25k = 0.00 3k = 9 + 0.00 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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