To add the expression \(5(0.5k - 1) + 2(0.4 - k)\), we will first distribute the constants inside the parentheses:
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Distributing \(5\) in the first term: \[ 5(0.5k) - 5(1) = 2.5k - 5 \]
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Distributing \(2\) in the second term: \[ 2(0.4) - 2(k) = 0.8 - 2k \]
Now we can combine these results: \[ (2.5k - 5) + (0.8 - 2k) \]
Now, combine like terms:
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Combine the \(k\) terms: \[ 2.5k - 2k = 0.5k \]
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Combine the constant terms: \[ -5 + 0.8 = -4.2 \]
Putting it all together: \[ 0.5k - 4.2 \]
Therefore, the final answer is: \[ 0.5k - 4.2 \]