ba-cd=b

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Solution for ba-cd=b equation: 


Simplifying
ba + -1cd = b

Solving
ab + -1cd = b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'cd' to each side of the equation.
ab + -1cd + cd = b + cd

Combine like terms: -1cd + cd = 0
ab + 0 = b + cd
ab = b + cd

Divide each side by 'b'.
a = 1 + b-1cd

Simplifying
a = 1 + b-1cd

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