Let's simplify the expression step by step:
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Distribute the terms: \[ 5(0.5k - 1) = 2.5k - 5 \] \[ 2(0.4 - k) = 0.8 - 2k \]
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Combine the two results: \[ (2.5k - 5) + (0.8 - 2k) \]
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Combine like terms: For the \(k\) terms: \[ 2.5k - 2k = 0.5k \]
For the constant terms: \[ -5 + 0.8 = -4.2 \]
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Therefore, the simplified expression is: \[ 0.5k - 4.2 \]
So, the final answer is: \[ 0.5k - 4.2 \]