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Simplifying 0.3k = 0.8(11 + -1k) 0.3k = (11 * 0.8 + -1k * 0.8) 0.3k = (8.8 + -0.8k) Solving 0.3k = 8.8 + -0.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.8k' to each side of the equation. 0.3k + 0.8k = 8.8 + -0.8k + 0.8k Combine like terms: 0.3k + 0.8k = 1.1k 1.1k = 8.8 + -0.8k + 0.8k Combine like terms: -0.8k + 0.8k = 0.0 1.1k = 8.8 + 0.0 1.1k = 8.8 Divide each side by '1.1'. k = 8 Simplifying k = 8
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