Solve for w -3(-8w+8)-2w=4(w-1)-4

$- 3 (- 8 w + 8) - 2 w = 4 (w - 1) - 4$

Simplify $- 3 (- 8 w + 8) - 2 w$ .

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Simplify each term.

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Apply the distributive property.

$- 3 (- 8 w) - 3 \cdot 8 - 2 w = 4 (w - 1) - 4$

Multiply $- 8$ by $- 3$ .

$24 w - 3 \cdot 8 - 2 w = 4 (w - 1) - 4$

Multiply $- 3$ by $8$ .

$24 w - 24 - 2 w = 4 (w - 1) - 4$

Subtract $2 w$ from $24 w$ .

$22 w - 24 = 4 (w - 1) - 4$

Simplify $4 (w - 1) - 4$ .

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Simplify each term.

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Apply the distributive property.

$22 w - 24 = 4 w + 4 \cdot - 1 - 4$

Multiply $4$ by $- 1$ .

$22 w - 24 = 4 w - 4 - 4$

Subtract $4$ from $- 4$ .

$22 w - 24 = 4 w - 8$

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

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Subtract $4 w$ from both sides of the equation.

$22 w - 24 - 4 w = - 8$

Subtract $4 w$ from $22 w$ .

$18 w - 24 = - 8$

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.

$18 w = - 8 + 24$

Add $- 8$ and $24$ .

$18 w = 16$

Divide each term by $18$ and simplify.

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Divide each term in $18 w = 16$ by $18$ .

$\frac{18 w}{18} = \frac{16}{18}$

Cancel the common factor of $18$ .

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Cancel the common factor.

$\frac{18 w}{18} = \frac{16}{18}$

Divide $w$ by $1$ .

$w = \frac{16}{18}$

Cancel the common factor of $16$ and $18$ .

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Factor $2$ out of $16$ .

$w = \frac{2 (8)}{18}$

Cancel the common factors.

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Factor $2$ out of $18$ .

$w = \frac{2 \cdot 8}{2 \cdot 9}$

Cancel the common factor.

$w = \frac{2 \cdot 8}{2 \cdot 9}$

Rewrite the expression.

$w = \frac{8}{9}$

The result can be shown in multiple forms.

Exact Form:

$w = \frac{8}{9}$

Decimal Form:

$w = 0.\overline{8}$

Solve for w -3(-8w+8)-2w=4(w-1)-4

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