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Simplifying 4.5k = 0.3(50 + -1k) 4.5k = (50 * 0.3 + -1k * 0.3) 4.5k = (15 + -0.3k) Solving 4.5k = 15 + -0.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.3k' to each side of the equation. 4.5k + 0.3k = 15 + -0.3k + 0.3k Combine like terms: 4.5k + 0.3k = 4.8k 4.8k = 15 + -0.3k + 0.3k Combine like terms: -0.3k + 0.3k = 0.0 4.8k = 15 + 0.0 4.8k = 15 Divide each side by '4.8'. k = 3.125 Simplifying k = 3.125
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