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Simplifying 0.7k + -0.5 + 0.4k = 2.8 Reorder the terms: -0.5 + 0.7k + 0.4k = 2.8 Combine like terms: 0.7k + 0.4k = 1.1k -0.5 + 1.1k = 2.8 Solving -0.5 + 1.1k = 2.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.1k = 2.8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.1k = 2.8 + 0.5 1.1k = 2.8 + 0.5 Combine like terms: 2.8 + 0.5 = 3.3 1.1k = 3.3 Divide each side by '1.1'. k = 3 Simplifying k = 3
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