ab-bc=cd

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Solution for ab-bc=cd equation: 


Simplifying
ab + -1bc = cd

Solving
ab + -1bc = cd

Solving for variable 'a'.

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

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

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

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

Simplifying
a = c + b-1cd

Reorder the terms:
a = b-1cd + c

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