Solve for n t(n)=24-5n

$t (n) = 24 - 5 n$

Step 1

Add $5 n$ to both sides of the equation.

$t n + 5 n = 24$

Step 2

Factor $n$ out of $t n + 5 n$ .

Factor $n$ out of $t n$ .

$n t + 5 n = 24$

Factor $n$ out of $5 n$ .

$n t + n \cdot 5 = 24$

Factor $n$ out of $n t + n \cdot 5$ .

$n (t + 5) = 24$

Step 3

Divide each term in $n (t + 5) = 24$ by $t + 5$ and simplify.

Divide each term in $n (t + 5) = 24$ by $t + 5$ .

$\frac{n (t + 5)}{t + 5} = \frac{24}{t + 5}$

Simplify the left side.

Cancel the common factor of $t + 5$ .

Cancel the common factor.

$\frac{n (t + 5)}{t + 5} = \frac{24}{t + 5}$

Divide $n$ by $1$ .

$n = \frac{24}{t + 5}$