a = b (-d-c)/cd
Multiply cd times both sides then distribute the b.
acd = -bd-bc
add bc to both sides:
acd+bc = -bd
factor out the c
c(ad+b) = -bd
Divide both sides by (ad+b) to solve for c.
Rearrange this equation to isolate c.
a=b((1/c)-(1-d))
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