Solve for w 17+27=-7w

$17 + 27 = - 7 w$

Step 1

Rewrite the equation as $- 7 w = 17 + 27$ .

$- 7 w = 17 + 27$

Step 2

Add $17$ and $27$ .

$- 7 w = 44$

Step 3

Divide each term in $- 7 w = 44$ by $- 7$ and simplify.

Divide each term in $- 7 w = 44$ by $- 7$ .

$\frac{- 7 w}{- 7} = \frac{44}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 w}{- 7} = \frac{44}{- 7}$

Divide $w$ by $1$ .

$w = \frac{44}{- 7}$

Simplify the right side.

Move the negative in front of the fraction.

$w = - \frac{44}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{44}{7}$

Decimal Form:

$w = - 6.\overline{285714}$

Mixed Number Form:

$w = - 6 \frac{2}{7}$