Algebra Examples

$6 w - 13 w - 18 = - 81$

Step 1

Subtract $13 w$ from $6 w$ .

$- 7 w - 18 = - 81$

Step 2

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

Tap for more steps...

Step 2.1

Add $18$ to both sides of the equation.

$- 7 w = - 81 + 18$

Step 2.2

Add $- 81$ and $18$ .

$- 7 w = - 63$

Step 3

Divide each term in $- 7 w = - 63$ by $- 7$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- 7 w = - 63$ by $- 7$ .

$\frac{- 7 w}{- 7} = \frac{- 63}{- 7}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $- 7$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{- 7 w}{- 7} = \frac{- 63}{- 7}$

Step 3.2.1.2

Divide $w$ by $1$ .

$w = \frac{- 63}{- 7}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $- 63$ by $- 7$ .

$w = 9$