Solve for h r+(3q)/h=t

$r + \frac{3 q}{h} = t$

Subtract $r$ from both sides of the equation.

$\frac{3 q}{h} = t - r$

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.

$h, 1, 1$

The LCM of one and any expression is the expression.

$h$

Multiply each term in $\frac{3 q}{h} = t - r$ by $h$ to eliminate the fractions.

Multiply each term in $\frac{3 q}{h} = t - r$ by $h$ .

$\frac{3 q}{h} h = t h - r h$

Simplify the left side.

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{3 q}{h} h = t h - r h$

Rewrite the expression.

$3 q = t h - r h$

Solve the equation.

Rewrite the equation as $t h - r h = 3 q$ .

$t h - r h = 3 q$

Factor $h$ out of $t h - r h$ .

Factor $h$ out of $t h$ .

$h t - r h = 3 q$

Factor $h$ out of $- r h$ .

$h t + h (- r) = 3 q$

Factor $h$ out of $h t + h (- r)$ .

$h (t - r) = 3 q$

Divide each term in $h (t - r) = 3 q$ by $t - r$ and simplify.

Divide each term in $h (t - r) = 3 q$ by $t - r$ .

$\frac{h (t - r)}{t - r} = \frac{3 q}{t - r}$

Simplify the left side.

Cancel the common factor of $t - r$ .

Cancel the common factor.

$\frac{h (t - r)}{t - r} = \frac{3 q}{t - r}$

Divide $h$ by $1$ .

$h = \frac{3 q}{t - r}$