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26 August, 09:25

How do I solve for w?

5 (w+2) - 8w=34

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Answers (2)
  1. 26 August, 09:34
    0
    w=-8

    Step-by-step explanation:

    5 (w+2) - 8w = 34

    5w+10 - 8w = 34

    10 - 3w=34

    10-34=3w

    -24/3=w

    w=-8
  2. 26 August, 11:22
    0
    w = - 8

    Step-by-step explanation:

    Solve for w:

    5 (w + 2) - 8 w = 34

    5 (w + 2) = 5 w + 10:

    5 w + 10 - 8 w = 34

    Grouping like terms, 5 w - 8 w + 10 = 10 + (5 w - 8 w):

    10 + (5 w - 8 w) = 34

    5 w - 8 w = - 3 w:

    -3 w + 10 = 34

    Subtract 10 from both sides:

    (10 - 10) - 3 w = 34 - 10

    10 - 10 = 0:

    -3 w = 34 - 10

    34 - 10 = 24:

    -3 w = 24

    Divide both sides of - 3 w = 24 by - 3:

    (-3 w) / (-3) = 24 / (-3)

    (-3) / (-3) = 1:

    w = 24 / (-3)

    The gcd of 24 and - 3 is 3, so 24 / (-3) = (3*8) / (3 (-1)) = 3/3*8 / (-1) = 8 / (-1):

    w = 8 / (-1)

    Multiply numerator and denominator of 8 / (-1) by - 1:

    Answer: w = - 8
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