Solve for j 2.25-11j-7.75+1.5j=0.5j-1

$2.25 - 11 j - 7.75 + 1.5 j = 0.5 j - 1$

Step 1

Simplify $2.25 - 11 j - 7.75 + 1.5 j$ .

Subtract $7.75$ from $2.25$ .

$- 11 j - 5.5 + 1.5 j = 0.5 j - 1$

Add $- 11 j$ and $1.5 j$ .

$- 9.5 j - 5.5 = 0.5 j - 1$

Step 2

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

Subtract $0.5 j$ from both sides of the equation.

$- 9.5 j - 5.5 - 0.5 j = - 1$

Subtract $0.5 j$ from $- 9.5 j$ .

$- 10 j - 5.5 = - 1$

Step 3

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

Add $5.5$ to both sides of the equation.

$- 10 j = - 1 + 5.5$

Add $- 1$ and $5.5$ .

$- 10 j = 4.5$

Step 4

Divide each term in $- 10 j = 4.5$ by $- 10$ and simplify.

Divide each term in $- 10 j = 4.5$ by $- 10$ .

$\frac{- 10 j}{- 10} = \frac{4.5}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 j}{- 10} = \frac{4.5}{- 10}$

Divide $j$ by $1$ .

$j = \frac{4.5}{- 10}$

Simplify the right side.

Divide $4.5$ by $- 10$ .

$j = - 0.45$