Solve for a t=G/a+h

$t = \frac{G}{a} + h$

Rewrite the equation as $\frac{G}{a} + h = t$ .

$\frac{G}{a} + h = t$

Subtract $h$ from both sides of the equation.

$\frac{G}{a} = t - h$

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.

$a, 1, 1$

The LCM of one and any expression is the expression.

$a$

Multiply each term in $\frac{G}{a} = t - h$ by $a$ to eliminate the fractions.

Multiply each term in $\frac{G}{a} = t - h$ by $a$ .

$\frac{G}{a} a = t a - h a$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{G}{a} a = t a - h a$

Rewrite the expression.

$G = t a - h a$

Solve the equation.

Rewrite the equation as $t a - h a = G$ .

$t a - h a = G$

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

Factor $a$ out of $t a$ .

$a t - h a = G$

Factor $a$ out of $- h a$ .

$a t + a (- h) = G$

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

$a (t - h) = G$

Divide each term in $a (t - h) = G$ by $t - h$ and simplify.

Divide each term in $a (t - h) = G$ by $t - h$ .

$\frac{a (t - h)}{t - h} = \frac{G}{t - h}$

Simplify the left side.

Cancel the common factor of $t - h$ .

Cancel the common factor.

$\frac{a (t - h)}{t - h} = \frac{G}{t - h}$

Divide $a$ by $1$ .

$a = \frac{G}{t - h}$