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Add:5 (0.5k-1) +2 (0.4-k). Your answer should be in decimal form

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To simplify the expression \(5(0.5k - 1) + 2(0.4 - k)\), we'll distribute the constants through the parentheses:

  1. Distributing \(5\) in the first term: \[ 5(0.5k) - 5(1) = 2.5k - 5 \]

  2. Distributing \(2\) in the second term: \[ 2(0.4) - 2(k) = 0.8 - 2k \]

Now, combine the results: \[ 2.5k - 5 + 0.8 - 2k \]

Now, combine like terms:

  • The \(k\) terms are \(2.5k - 2k = 0.5k\)
  • The constant terms are \(-5 + 0.8 = -4.2\)

Putting it all together: \[ 0.5k - 4.2 \]

Thus, the final simplified expression is: \[ 0.5k - 4.2 \]