Solve for j -8.5j+1-9j=2.5j-1

$- 8.5 j + 1 - 9 j = 2.5 j - 1$

Step 1

Subtract $9 j$ from $- 8.5 j$ .

$- 17.5 j + 1 = 2.5 j - 1$

Step 2

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

Subtract $2.5 j$ from both sides of the equation.

$- 17.5 j + 1 - 2.5 j = - 1$

Subtract $2.5 j$ from $- 17.5 j$ .

$- 20 j + 1 = - 1$

Step 3

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

Subtract $1$ from both sides of the equation.

$- 20 j = - 1 - 1$

Subtract $1$ from $- 1$ .

$- 20 j = - 2$

Step 4

Divide each term in $- 20 j = - 2$ by $- 20$ and simplify.

Divide each term in $- 20 j = - 2$ by $- 20$ .

$\frac{- 20 j}{- 20} = \frac{- 2}{- 20}$

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

$\frac{- 20 j}{- 20} = \frac{- 2}{- 20}$

Divide $j$ by $1$ .

$j = \frac{- 2}{- 20}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 20$ .

Factor $- 2$ out of $- 2$ .

$j = \frac{- 2 (1)}{- 20}$

Cancel the common factors.

Factor $- 2$ out of $- 20$ .

$j = \frac{- 2 \cdot 1}{- 2 \cdot 10}$

Cancel the common factor.

$j = \frac{- 2 \cdot 1}{- 2 \cdot 10}$

Rewrite the expression.

$j = \frac{1}{10}$

Divide $1$ by $10$ .

$j = 0.1$