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Simplifying 4.5k + -1.5k = 0.3(2 + -1k) Combine like terms: 4.5k + -1.5k = 3k 3k = 0.3(2 + -1k) 3k = (2 * 0.3 + -1k * 0.3) 3k = (0.6 + -0.3k) Solving 3k = 0.6 + -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. 3k + 0.3k = 0.6 + -0.3k + 0.3k Combine like terms: 3k + 0.3k = 3.3k 3.3k = 0.6 + -0.3k + 0.3k Combine like terms: -0.3k + 0.3k = 0.0 3.3k = 0.6 + 0.0 3.3k = 0.6 Divide each side by '3.3'. k = 0.1818181818 Simplifying k = 0.1818181818
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