ab-cv=dg-vf

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Solution for ab-cv=dg-vf equation: 


Simplifying
ab + -1cv = dg + -1vf

Solving
ab + -1cv = dg + -1fv

Solving for variable 'a'.

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

Add 'cv' to each side of the equation.
ab + -1cv + cv = dg + cv + -1fv

Combine like terms: -1cv + cv = 0
ab + 0 = dg + cv + -1fv
ab = dg + cv + -1fv

Reorder the terms:
ab = cv + dg + -1fv

Divide each side by 'b'.
a = b-1cv + b-1dg + -1b-1fv

Simplifying
a = b-1cv + b-1dg + -1b-1fv

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