Write as a Function of a a(n)=4n-20

$a (n) = 4 n - 20$

Step 1

Subtract $4 n$ from both sides of the equation.

$a n - 4 n = - 20$

Step 2

Factor $n$ out of $a n - 4 n$ .

Factor $n$ out of $a n$ .

$n a - 4 n = - 20$

Factor $n$ out of $- 4 n$ .

$n a + n \cdot - 4 = - 20$

Factor $n$ out of $n a + n \cdot - 4$ .

$n (a - 4) = - 20$

Step 3

Divide each term in $n (a - 4) = - 20$ by $a - 4$ and simplify.

Divide each term in $n (a - 4) = - 20$ by $a - 4$ .

$\frac{n (a - 4)}{a - 4} = \frac{- 20}{a - 4}$

Simplify the left side.

Cancel the common factor of $a - 4$ .

Cancel the common factor.

$\frac{n (a - 4)}{a - 4} = \frac{- 20}{a - 4}$

Divide $n$ by $1$ .

$n = \frac{- 20}{a - 4}$

Simplify the right side.

Move the negative in front of the fraction.

$n = - \frac{20}{a - 4}$

Step 4

To rewrite as a function of $a$ , write the equation so that $n$ is by itself on one side of the equal sign and an expression involving only $a$ is on the other side.

$f (a) = - \frac{20}{a - 4}$

Write as a Function of a a(n)=4n-20

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