Four equals to three
She starts off with the equation \(a-b=c\) which is equivalent to
\[ \large 4a-3a-4b+3b = 4c-3c \]
She moved the variables to obtain \(4a-4b-4c = 3a-3b-3c \) and factorized it to
\[\large 4(a-b-c) = 3(a-b-c)\]
Finally, she cancelled both sides to obtain \( 4=3\).
What is the error in Kimmie's work?