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-4c + 3d = 8e ; solve for d.

In order to solve for d, you must isolate it (get it onto its own side). So, let's start off by adding 4c to both sides.

-4c + (-4c) + 3d = 8e + (-4c)

Simplify.

3d = 8e - 4c

Then, divide both sides by 3.

3d ÷ 3 = (8e - 4c) ÷ 3

Simplify.

d = 8/3e - 4/3c

Therefore, [tex]d = \frac{8}{3} e  -\frac{4}{3} c[/tex]