Solve for g mg+rg=2h

$mg + r g = 2 h$

Step 1

Subtract $mg$ from both sides of the equation.

$r g = 2 h - mg$

Step 2

Divide each term in $r g = 2 h - mg$ by $r$ and simplify.

Divide each term in $r g = 2 h - mg$ by $r$ .

$\frac{r g}{r} = \frac{2 h}{r} + \frac{- mg}{r}$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r g}{r} = \frac{2 h}{r} + \frac{- mg}{r}$

Divide $g$ by $1$ .

$g = \frac{2 h}{r} + \frac{- mg}{r}$

Simplify the right side.

Move the negative in front of the fraction.

$g = \frac{2 h}{r} - \frac{mg}{r}$

Step 3

Rewrite the expression.

$g = \frac{2 h}{r} - \frac{1}{r} mg$