Solve for n 28=-4(n+15)

$28 = - 4 (n + 15)$

Step 1

Rewrite the equation as $- 4 (n + 15) = 28$ .

$- 4 (n + 15) = 28$

Step 2

Divide each term in $- 4 (n + 15) = 28$ by $- 4$ and simplify.

Divide each term in $- 4 (n + 15) = 28$ by $- 4$ .

$\frac{- 4 (n + 15)}{- 4} = \frac{28}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 (n + 15)}{- 4} = \frac{28}{- 4}$

Divide $n + 15$ by $1$ .

$n + 15 = \frac{28}{- 4}$

Simplify the right side.

Divide $28$ by $- 4$ .

$n + 15 = - 7$

Step 3

Move all terms not containing $n$ to the right side of the equation.

Subtract $15$ from both sides of the equation.

$n = - 7 - 15$

Subtract $15$ from $- 7$ .

$n = - 22$