Solve for w 13w-2(4w+1)=w-58

$13 w - 2 (4 w + 1) = w - 58$

Simplify $13 w - 2 (4 w + 1)$ .

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Simplify each term.

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Apply the distributive property.

$13 w - 2 (4 w) - 2 \cdot 1 = w - 58$

Multiply $4$ by $- 2$ .

$13 w - 8 w - 2 \cdot 1 = w - 58$

Multiply $- 2$ by $1$ .

$13 w - 8 w - 2 = w - 58$

Subtract $8 w$ from $13 w$ .

$5 w - 2 = w - 58$

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

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Subtract $w$ from both sides of the equation.

$5 w - 2 - w = - 58$

Subtract $w$ from $5 w$ .

$4 w - 2 = - 58$

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

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Add $2$ to both sides of the equation.

$4 w = - 58 + 2$

Add $- 58$ and $2$ .

$4 w = - 56$

Divide each term in $4 w = - 56$ by $4$ and simplify.

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Divide each term in $4 w = - 56$ by $4$ .

$\frac{4 w}{4} = \frac{- 56}{4}$

Simplify the left side.

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Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 w}{4} = \frac{- 56}{4}$

Divide $w$ by $1$ .

$w = \frac{- 56}{4}$

Simplify the right side.

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Divide $- 56$ by $4$ .

$w = - 14$