Solve Sm+12=9m*16

$$Sm + 12 = 9 m \cdot 16$$

Solve for S

$$S=144-\frac{12}{m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply 9 and 16 to get 144.

$$Sm+12=144m$$

Subtract 12 from both sides.

$$Sm=144m-12$$

The equation is in standard form.

$$mS=144m-12$$

Divide both sides by m.

$$\frac{mS}{m}=\frac{144m-12}{m}$$

Dividing by m undoes the multiplication by m.

$$S=\frac{144m-12}{m}$$

Divide 144m-12 by m.

$$S=144-\frac{12}{m}$$

Solve for m

$$m=-\frac{12}{S-144}$$

$$S\neq 144$$

Steps for Solving Linear Equation

Multiply 9 and 16 to get 144.

$$Sm+12=144m$$

Subtract 144m from both sides.

$$Sm+12-144m=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$Sm-144m=-12$$

Combine all terms containing m.

$$\left(S-144\right)m=-12$$

Divide both sides by S-144.

$$\frac{\left(S-144\right)m}{S-144}=-\frac{12}{S-144}$$

Dividing by S-144 undoes the multiplication by S-144.

$$m=-\frac{12}{S-144}$$