Solve f2(g+10)=24

$$f 2 ( g + 10 ) = 24$$

Solve for f_2

$$f_{2}=\frac{24}{g+10}$$

$$g\neq -10$$

Steps for Solving Linear Equation

Use the distributive property to multiply f_{2} by g+10.

$$f_{2}g+10f_{2}=24$$

Combine all terms containing f_{2}.

$$\left(g+10\right)f_{2}=24$$

Divide both sides by g+10.

$$\frac{\left(g+10\right)f_{2}}{g+10}=\frac{24}{g+10}$$

Dividing by g+10 undoes the multiplication by g+10.

$$f_{2}=\frac{24}{g+10}$$

Solve for g

$$g=-10+\frac{24}{f_{2}}$$

$$f_{2}\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply f_{2} by g+10.

$$f_{2}g+10f_{2}=24$$

Subtract 10f_{2} from both sides.

$$f_{2}g=24-10f_{2}$$

Divide both sides by f_{2}.

$$\frac{f_{2}g}{f_{2}}=\frac{24-10f_{2}}{f_{2}}$$

Dividing by f_{2} undoes the multiplication by f_{2}.

$$g=\frac{24-10f_{2}}{f_{2}}$$

Divide 24-10f_{2} by f_{2}.

$$g=-10+\frac{24}{f_{2}}$$