Answer :

Isolate the variable g on one side of the equation by multiplying by (-7/4) on each side. The fours cancel since you get (4/5)*(-7/4) = (4/4)*(-7/5) = 1*(-7/5) and you're left with g = (-7/5) = -1 2/5 = -1.40
[tex] \frac{4}{5}= \frac{-4}{7g}\ \ \ \Rightarrow\ \ \ 4\cdot7g=5\cdot(-4)\ /:(4\cdot7)\\ \\g= \frac{5\cdot(-4)}{4\cdot7} = -\frac{5}{7} \\\\------------\\\\ \frac{4}{5}= \frac{-4}{7}\cdot g\ /\cdot (- \frac{7}{4} )\\ \\ g=\frac{4}{5}\cdot (- \frac{7}{4} )=- \frac{7}{5} [/tex]