Solve frac{9(d_{1}-d_{2})}{L}=w

$$\frac { 9 ( d _ { 1 } - d _ { 2 } ) } { L } = w$$

Solve for L

$$\left\{\begin{matrix}L=\frac{9\left(d_{1}-d_{2}\right)}{w}\text{, }&d_{1}\neq d_{2}\text{ and }w\neq 0\\L\neq 0\text{, }&w=0\text{ and }d_{1}=d_{2}\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable L cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by L.

$$9\left(d_{1}-d_{2}\right)=wL$$

Use the distributive property to multiply 9 by d_{1}-d_{2}.

$$9d_{1}-9d_{2}=wL$$

Swap sides so that all variable terms are on the left hand side.

$$wL=9d_{1}-9d_{2}$$

Divide both sides by w.

$$\frac{wL}{w}=\frac{9d_{1}-9d_{2}}{w}$$

Dividing by w undoes the multiplication by w.

$$L=\frac{9d_{1}-9d_{2}}{w}$$

Divide 9d_{1}-9d_{2} by w.

$$L=\frac{9\left(d_{1}-d_{2}\right)}{w}$$

Variable L cannot be equal to 0.

$$L=\frac{9\left(d_{1}-d_{2}\right)}{w}\text{, }L\neq 0$$

Solve for d_1

$$d_{1}=\frac{Lw}{9}+d_{2}$$

$$L\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by L.

$$9\left(d_{1}-d_{2}\right)=wL$$

Use the distributive property to multiply 9 by d_{1}-d_{2}.

$$9d_{1}-9d_{2}=wL$$

Add 9d_{2} to both sides.

$$9d_{1}=wL+9d_{2}$$

The equation is in standard form.

$$9d_{1}=Lw+9d_{2}$$

Divide both sides by 9.

$$\frac{9d_{1}}{9}=\frac{Lw+9d_{2}}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$d_{1}=\frac{Lw+9d_{2}}{9}$$

Divide wL+9d_{2} by 9.

$$d_{1}=\frac{Lw}{9}+d_{2}$$