Solve for n -66=-9n+16n+4

$- 66 = - 9 n + 16 n + 4$

Step 1

Rewrite the equation as $- 9 n + 16 n + 4 = - 66$ .

$- 9 n + 16 n + 4 = - 66$

Step 2

Add $- 9 n$ and $16 n$ .

$7 n + 4 = - 66$

Step 3

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

Subtract $4$ from both sides of the equation.

$7 n = - 66 - 4$

Subtract $4$ from $- 66$ .

$7 n = - 70$

Step 4

Divide each term in $7 n = - 70$ by $7$ and simplify.

Divide each term in $7 n = - 70$ by $7$ .

$\frac{7 n}{7} = \frac{- 70}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 n}{7} = \frac{- 70}{7}$

Divide $n$ by $1$ .

$n = \frac{- 70}{7}$

Simplify the right side.

Divide $- 70$ by $7$ .

$n = - 10$