Solve for g 3=(4m)/g-Q

$3 = \frac{4 m}{g} - Q$

Rewrite the equation as $\frac{4 m}{g} - Q = 3$ .

$\frac{4 m}{g} - Q = 3$

Add $Q$ to both sides of the equation.

$\frac{4 m}{g} = 3 + Q$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$g, 1, 1$

The LCM of one and any expression is the expression.

$g$

Multiply each term in $\frac{4 m}{g} = 3 + Q$ by $g$ to eliminate the fractions.

Multiply each term in $\frac{4 m}{g} = 3 + Q$ by $g$ .

$\frac{4 m}{g} g = 3 g + Q g$

Simplify the left side.

Cancel the common factor of $g$ .

Cancel the common factor.

$\frac{4 m}{g} g = 3 g + Q g$

Rewrite the expression.

$4 m = 3 g + Q g$

Solve the equation.

Rewrite the equation as $3 g + Q g = 4 m$ .

$3 g + Q g = 4 m$

Factor $g$ out of $3 g + Q g$ .

Factor $g$ out of $3 g$ .

$g \cdot 3 + Q g = 4 m$

Factor $g$ out of $Q g$ .

$g \cdot 3 + g Q = 4 m$

Factor $g$ out of $g \cdot 3 + g Q$ .

$g (3 + Q) = 4 m$

Divide each term in $g (3 + Q) = 4 m$ by $3 + Q$ and simplify.

Divide each term in $g (3 + Q) = 4 m$ by $3 + Q$ .

$\frac{g (3 + Q)}{3 + Q} = \frac{4 m}{3 + Q}$

Simplify the left side.

Cancel the common factor of $3 + Q$ .

Cancel the common factor.

$\frac{g (3 + Q)}{3 + Q} = \frac{4 m}{3 + Q}$

Divide $g$ by $1$ .

$g = \frac{4 m}{3 + Q}$