Solve F/j=M+w/w

$$\frac { F } { j } = \frac { M + w } { w }$$

Solve for F

$$F=\frac{j\left(w+M\right)}{w}$$

$$j\neq 0\text{ and }w\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by jw, the least common multiple of j,w.

$$wF=j\left(M+w\right)$$

Use the distributive property to multiply j by M+w.

$$wF=jM+jw$$

The equation is in standard form.

$$wF=jw+Mj$$

Divide both sides by w.

$$\frac{wF}{w}=\frac{j\left(w+M\right)}{w}$$

Dividing by w undoes the multiplication by w.

$$F=\frac{j\left(w+M\right)}{w}$$

Solve for M

$$M=\frac{w\left(F-j\right)}{j}$$

$$j\neq 0\text{ and }w\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by jw, the least common multiple of j,w.

$$wF=j\left(M+w\right)$$

Use the distributive property to multiply j by M+w.

$$wF=jM+jw$$

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

$$jM+jw=wF$$

Subtract jw from both sides.

$$jM=wF-jw$$

The equation is in standard form.

$$jM=Fw-jw$$

Divide both sides by j.

$$\frac{jM}{j}=\frac{w\left(F-j\right)}{j}$$

Dividing by j undoes the multiplication by j.

$$M=\frac{w\left(F-j\right)}{j}$$