Let's simplify the expression step by step:
Given expression: \[ 5(0.5k - 1) + 2(0.4 - k) \]
Step 1: Distribute the constants:
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For the first term: \[ 5(0.5k) - 5(1) = 2.5k - 5 \]
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For the second term: \[ 2(0.4) - 2(k) = 0.8 - 2k \]
Step 2: Combine the results: \[ 2.5k - 5 + 0.8 - 2k \]
Step 3: Combine like terms:
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Combine the \( k \) terms: \[ 2.5k - 2k = 0.5k \]
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Combine the constant terms: \[ -5 + 0.8 = -4.2 \]
Step 4: Combine everything: \[ 0.5k - 4.2 \]
So the final simplified expression is: \[ 0.5k - 4.2 \]
If you are looking for a numerical value, you'll need to provide a specific value for \( k \). If you provide that value, I can calculate the numerical result for you.
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