Solve for w -18w+5(-13w-2)=8(-2w-18)

$- 18 w + 5 (- 13 w - 2) = 8 (- 2 w - 18)$

Step 1

Simplify $- 18 w + 5 (- 13 w - 2)$ .

Simplify each term.

Apply the distributive property.

$- 18 w + 5 (- 13 w) + 5 \cdot - 2 = 8 (- 2 w - 18)$

Multiply $- 13$ by $5$ .

$- 18 w - 65 w + 5 \cdot - 2 = 8 (- 2 w - 18)$

Multiply $5$ by $- 2$ .

$- 18 w - 65 w - 10 = 8 (- 2 w - 18)$

Subtract $65 w$ from $- 18 w$ .

$- 83 w - 10 = 8 (- 2 w - 18)$

Step 2

Simplify $8 (- 2 w - 18)$ .

Apply the distributive property.

$- 83 w - 10 = 8 (- 2 w) + 8 \cdot - 18$

Multiply.

Multiply $- 2$ by $8$ .

$- 83 w - 10 = - 16 w + 8 \cdot - 18$

Multiply $8$ by $- 18$ .

$- 83 w - 10 = - 16 w - 144$

Step 3

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

Add $16 w$ to both sides of the equation.

$- 83 w - 10 + 16 w = - 144$

Add $- 83 w$ and $16 w$ .

$- 67 w - 10 = - 144$

Step 4

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

Add $10$ to both sides of the equation.

$- 67 w = - 144 + 10$

Add $- 144$ and $10$ .

$- 67 w = - 134$

Step 5

Divide each term in $- 67 w = - 134$ by $- 67$ and simplify.

Divide each term in $- 67 w = - 134$ by $- 67$ .

$\frac{- 67 w}{- 67} = \frac{- 134}{- 67}$

Simplify the left side.

Cancel the common factor of $- 67$ .

Cancel the common factor.

$\frac{- 67 w}{- 67} = \frac{- 134}{- 67}$

Divide $w$ by $1$ .

$w = \frac{- 134}{- 67}$

Simplify the right side.

Divide $- 134$ by $- 67$ .

$w = 2$

Solve for w -18w+5(-13w-2)=8(-2w-18)

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