Solve for w 7w-3(4w+8)=11

$7 w - 3 (4 w + 8) = 11$

Simplify $7 w - 3 (4 w + 8)$ .

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Simplify each term.

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Apply the distributive property.

$7 w - 3 (4 w) - 3 \cdot 8 = 11$

Multiply $4$ by $- 3$ .

$7 w - 12 w - 3 \cdot 8 = 11$

Multiply $- 3$ by $8$ .

$7 w - 12 w - 24 = 11$

Subtract $12 w$ from $7 w$ .

$- 5 w - 24 = 11$

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

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Add $24$ to both sides of the equation.

$- 5 w = 11 + 24$

Add $11$ and $24$ .

$- 5 w = 35$

Divide each term by $- 5$ and simplify.

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Divide each term in $- 5 w = 35$ by $- 5$ .

$\frac{- 5 w}{- 5} = \frac{35}{- 5}$

Cancel the common factor of $- 5$ .

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Cancel the common factor.

$\frac{- 5 w}{- 5} = \frac{35}{- 5}$

Divide $w$ by $1$ .

$w = \frac{35}{- 5}$

Divide $35$ by $- 5$ .

$w = - 7$

Solve for w 7w-3(4w+8)=11

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