Solve m*g=10N

$$m \cdot g = 10 N$$

Solve for N

$$N=\frac{gm}{10}$$

Steps for Solving Linear Equation

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

$$10N=mg$$

The equation is in standard form.

$$10N=gm$$

Divide both sides by 10.

$$\frac{10N}{10}=\frac{gm}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$N=\frac{gm}{10}$$

Solve for g

$$\left\{\begin{matrix}g=\frac{10N}{m}\text{, }&m\neq 0\\g\in \mathrm{R}\text{, }&N=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$mg=10N$$

Divide both sides by m.

$$\frac{mg}{m}=\frac{10N}{m}$$

Dividing by m undoes the multiplication by m.

$$g=\frac{10N}{m}$$