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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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 +