Answer:
![f=-(6g)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ukwtr7wvht3lp6ray9akr2v7rm33wxmd8y.png)
Explanation:
Given:
![6f + 9g = 3g +f](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rnnae902djf6zd1kpnt26i8s40lai0co14.png)
To solve for the value
we need to isolate it on one side of the equal sign. Let's move the
on the right side to the left side by subtracting it from both sides. We then get:
![5f + 9g = 3g](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k3mm4pmsvuy5n2v3dhdkhe5viq2nwcfsz7.png)
Subtract
from both sides of the equal sign to isolate the
![5f.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j7pd235f2007a6q9knadx7a5fe6x3ecnh6.png)
![5f= -6g](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o2fv51xu7n6oi1rgtkljeq6licq0awmgsb.png)
To solve for
we need to divide both sides by
since it is being multiplied by
![f.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aydu7it5ycovnd85vs4vf6ik4vn7tsog3t.png)
![(5f)/(5) =(-6g)/(5)\\f=-(6g)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7i8c9n6cvbodilzdtdklbhls71vdz2jdk2.png)