So if you want to solve for c, the best thing to do is isolate the variable. So I personally don't enjoy dealing with fractions that much until the very end, so I am going to multiple the entire equation by \(d*g\) to eliminate the fraction. So now the equation is \(cg+2dg=fd\). In order to isolate the c variable, subtract both sides by \(2dg\), which makes it \(cg=fd-2dg\). Now divide both sides by g, \(c=\frac{fd-2dg}{g}\). So that's what c equals in terms of f, d and g.
