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Solve for d. −3 + 4/5 d + 3/2 d + 2 = 3d d =

Solve for d.
−3 + 4/5 d + 3/2 d + 2 = 3d
d =




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1 Answer

  1. To solve the equation (-3 + frac{4}{5}d + frac{3}{2}d + 2 = 3d), follow these steps:

    1. Combine like terms on the left side:

    Begin by simplifying the left side:

    (-3 + 2 = -1).

    So the equation becomes:

    (-1 + frac{4}{5}d + frac{3}{2}d = 3d).

    2. Get the equation in terms of d:

    Rewrite it as:

    (frac{4}{5}d + frac{3}{2}d = 3d + 1).

    3. Combine the d terms:

    To combine (frac{4}{5}d) and (frac{3}{2}d), you need a common denominator, which is 10:

    [

    frac{4}{5}d = frac{8}{10}d quad text{and} quad frac{3}{2}d = frac{15}{10}d.

    ]

    So:

    (frac{8}{10}d + frac{15}{10}d = frac{23}{10}d).

    Update the equation:

    (frac{23}{10}d = 3d +

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