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19 December, 19:35

2.5 + 0.5k=2 (k + 0.5)

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Answers (2)
  1. 19 December, 19:58
    0
    k = 1

    Step-by-step explanation:

    Solve for k:

    0.5 k + 2.5 = 2 (k + 0.5)

    Expand out terms of the right hand side:

    0.5 k + 2.5 = 2 k + 1

    Subtract 2 k from both sides:

    (0.5 k - 2 k) + 2.5 = (2 k - 2 k) + 1

    0.5 k - 2 k = - 1.5 k:

    -1.5 k + 2.5 = (2 k - 2 k) + 1

    2 k - 2 k = 0:

    2.5 - 1.5 k = 1

    Subtract 2.5' from both sides:

    (2.5 - 2.5) - 1.5 k = 1 - 2.5

    2.5 - 2.5 = 0:

    -1.5 k = 1 - 2.5

    1 - 2.5 = - 1.5:

    -1.5 k = - 1.5

    Divide both sides of - 1.5 k = - 1.5 by - 1.5:

    (-1.5 k) / (-1.5) = (-1.5) / (-1.5)

    (-1.5) / (-1.5) = 1:

    k = (-1.5) / (-1.5)

    (-1.5) / (-1.5) = 1:

    Answer: k = 1
  2. 19 December, 20:02
    0
    k=1

    Step-by-step explanation:

    Isolate the variable by dividing each side by factors that don't contain the variable.
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