Solve 8506m=80-km-m

$$8506 m = 80 - km - m$$

Solve for k

$$k=-8507+\frac{80}{m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

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

$$80-km-m=8506m$$

Subtract 80 from both sides.

$$-km-m=8506m-80$$

Add m to both sides.

$$-km=8506m-80+m$$

Combine 8506m and m to get 8507m.

$$-km=8507m-80$$

The equation is in standard form.

$$\left(-m\right)k=8507m-80$$

Divide both sides by -m.

$$\frac{\left(-m\right)k}{-m}=\frac{8507m-80}{-m}$$

Dividing by -m undoes the multiplication by -m.

$$k=\frac{8507m-80}{-m}$$

Divide 8507m-80 by -m.

$$k=-8507+\frac{80}{m}$$

Solve for m

$$m=\frac{80}{k+8507}$$

$$k\neq -8507$$

Steps for Solving Linear Equation

Add km to both sides.

$$8506m+km=80-m$$

Add m to both sides.

$$8506m+km+m=80$$

Combine 8506m and m to get 8507m.

$$8507m+km=80$$

Combine all terms containing m.

$$\left(8507+k\right)m=80$$

The equation is in standard form.

$$\left(k+8507\right)m=80$$

Divide both sides by 8507+k.

$$\frac{\left(k+8507\right)m}{k+8507}=\frac{80}{k+8507}$$

Dividing by 8507+k undoes the multiplication by 8507+k.

$$m=\frac{80}{k+8507}$$