Algebra Examples

$- 2 + 8 w = - 6 (3 w + 9)$

Step 1

Simplify $- 6 (3 w + 9)$ .

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Step 1.1

Rewrite.

$- 2 + 8 w = 0 + 0 - 6 (3 w + 9)$

Step 1.2

Simplify by adding zeros.

$- 2 + 8 w = - 6 (3 w + 9)$

Step 1.3

Apply the distributive property.

$- 2 + 8 w = - 6 (3 w) - 6 \cdot 9$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $3$ by $- 6$ .

$- 2 + 8 w = - 18 w - 6 \cdot 9$

Step 1.4.2

Multiply $- 6$ by $9$ .

$- 2 + 8 w = - 18 w - 54$

Step 2

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

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Step 2.1

Add $18 w$ to both sides of the equation.

$- 2 + 8 w + 18 w = - 54$

Step 2.2

Add $8 w$ and $18 w$ .

$- 2 + 26 w = - 54$

Step 3

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

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Step 3.1

Add $2$ to both sides of the equation.

$26 w = - 54 + 2$

Step 3.2

Add $- 54$ and $2$ .

$26 w = - 52$

Step 4

Divide each term in $26 w = - 52$ by $26$ and simplify.

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Step 4.1

Divide each term in $26 w = - 52$ by $26$ .

$\frac{26 w}{26} = \frac{- 52}{26}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $26$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{26 w}{26} = \frac{- 52}{26}$

Step 4.2.1.2

Divide $w$ by $1$ .

$w = \frac{- 52}{26}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 52$ by $26$ .

$w = - 2$