Solve for j 0.1j-0.6=-0.1j

$0.1 j - 0.6 = - 0.1 j$

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

Add $0.1 j$ to both sides of the equation.

$0.1 j - 0.6 + 0.1 j = 0$

Add $0.1 j$ and $0.1 j$ .

$0.2 j - 0.6 = 0$

Add $0.6$ to both sides of the equation.

$0.2 j = 0.6$

Divide each term in $0.2 j = 0.6$ by $0.2$ and simplify.

Divide each term in $0.2 j = 0.6$ by $0.2$ .

$\frac{0.2 j}{0.2} = \frac{0.6}{0.2}$

Simplify the left side.

Cancel the common factor of $0.2$ .

Cancel the common factor.

$\frac{0.2 j}{0.2} = \frac{0.6}{0.2}$

Divide $j$ by $1$ .

$j = \frac{0.6}{0.2}$

Simplify the right side.

Divide $0.6$ by $0.2$ .

$j = 3$