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

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 +