To add the expressions \( (0.5k - 1) + 2(0.4 - k) \), we'll first distribute the 2 to the terms inside the parentheses.
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Distribute: \[ 2(0.4 - k) = 2 \times 0.4 - 2 \times k = 0.8 - 2k \]
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Now, we can rewrite the expression: \[ (0.5k - 1) + (0.8 - 2k) \]
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Combine like terms:
- For the \( k \) terms: \( 0.5k - 2k = -1.5k \)
- For the constant terms: \( -1 + 0.8 = -0.2 \)
Putting it all together, we get: \[ -1.5k - 0.2 \]
Thus, the final result is: \[ -1.5k - 0.2 \]