Solve for n 4-7n=-(8n+4)+2

$4 - 7 n = - (8 n + 4) + 2$

Simplify $- (8 n + 4) + 2$ .

Simplify each term.

Apply the distributive property.

$4 - 7 n = - (8 n) - 1 \cdot 4 + 2$

Multiply $8$ by $- 1$ .

$4 - 7 n = - 8 n - 1 \cdot 4 + 2$

Multiply $- 1$ by $4$ .

$4 - 7 n = - 8 n - 4 + 2$

Add $- 4$ and $2$ .

$4 - 7 n = - 8 n - 2$

Move all terms containing $n$ to the left side of the equation.

Add $8 n$ to both sides of the equation.

$4 - 7 n + 8 n = - 2$

Add $- 7 n$ and $8 n$ .

$4 + n = - 2$

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

Subtract $4$ from both sides of the equation.

$n = - 2 - 4$

Subtract $4$ from $- 2$ .

$n = - 6$