How do I solve for w? 5(w+2)-8w=34

Question

How do I solve for w?

5(w+2)-8w=34

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Amelia 2 weeks 2021-09-13T14:18:47+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T14:19:53+00:00

    Answer:

    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

    0
    2021-09-13T14:20:33+00:00

    Answer:

    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

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