Solve for j 5.6j-0.12=4+1.1j

$5.6 j - 0.12 = 4 + 1.1 j$

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

Subtract $1.1 j$ from both sides of the equation.

$5.6 j - 0.12 - 1.1 j = 4$

Subtract $1.1 j$ from $5.6 j$ .

$4.5 j - 0.12 = 4$

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

Add $0.12$ to both sides of the equation.

$4.5 j = 4 + 0.12$

Add $4$ and $0.12$ .

$4.5 j = 4.12$

Divide each term in $4.5 j = 4.12$ by $4.5$ and simplify.

Divide each term in $4.5 j = 4.12$ by $4.5$ .

$\frac{4.5 j}{4.5} = \frac{4.12}{4.5}$

Simplify the left side.

Cancel the common factor of $4.5$ .

Cancel the common factor.

$\frac{4.5 j}{4.5} = \frac{4.12}{4.5}$

Divide $j$ by $1$ .

$j = \frac{4.12}{4.5}$

Simplify the right side.

Divide $4.12$ by $4.5$ .

$j = 0.91\overline{5}$