Solve for j -9-7j+4=2-6j

$- 9 - 7 j + 4 = 2 - 6 j$

Step 1

Add $- 9$ and $4$ .

$- 7 j - 5 = 2 - 6 j$

Step 2

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

Add $6 j$ to both sides of the equation.

$- 7 j - 5 + 6 j = 2$

Add $- 7 j$ and $6 j$ .

$- j - 5 = 2$

Step 3

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

Add $5$ to both sides of the equation.

$- j = 2 + 5$

Add $2$ and $5$ .

$- j = 7$

Step 4

Divide each term in $- j = 7$ by $- 1$ and simplify.

Divide each term in $- j = 7$ by $- 1$ .

$\frac{- j}{- 1} = \frac{7}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{j}{1} = \frac{7}{- 1}$

Divide $j$ by $1$ .

$j = \frac{7}{- 1}$

Simplify the right side.

Divide $7$ by $- 1$ .

$j = - 7$