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Simplifying 1.1k = 30 + 0.5k Solving 1.1k = 30 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. 1.1k + -0.5k = 30 + 0.5k + -0.5k Combine like terms: 1.1k + -0.5k = 0.6k 0.6k = 30 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 0.6k = 30 + 0.0 0.6k = 30 Divide each side by '0.6'. k = 50 Simplifying k = 50
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