Solve for n -4=-7n-4(1-2n)

$- 4 = - 7 n - 4 (1 - 2 n)$

Step 1

Rewrite the equation as $- 7 n - 4 (1 - 2 n) = - 4$ .

$- 7 n - 4 (1 - 2 n) = - 4$

Step 2

Simplify $- 7 n - 4 (1 - 2 n)$ .

Simplify each term.

Apply the distributive property.

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

Multiply $- 4$ by $1$ .

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

Multiply $- 2$ by $- 4$ .

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

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

$n - 4 = - 4$

Step 3

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

Add $4$ to both sides of the equation.

$n = - 4 + 4$

Add $- 4$ and $4$ .

$n = 0$