Question

solve for $f$: $6f + 9g = 3g + fLXB0\bigcirc f = \frac{-6g}{5}LXB1\bigcirc f = \frac{12g}{7}$

Explanation:

Step1: Isolate f terms

Subtract $f$ from both sides:
$6f - f + 9g = 3g$
$\implies 5f + 9g = 3g$

Step2: Isolate constant g terms

Subtract $9g$ from both sides:
$5f = 3g - 9g$
$\implies 5f = -6g$

Step3: Solve for f

Divide both sides by 5:
$f = \frac{-6g}{5}$

Answer:

$\boldsymbol{f = \frac{-6g}{5}}$ (matches the second option)