Basic Math Examples

$- 4 (2 w - 7) = 9 (2 - w)$

Step 1

Simplify $- 4 (2 w - 7)$ .

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Step 1.1

Rewrite.

$0 + 0 - 4 (2 w - 7) = 9 (2 - w)$

Step 1.2

Simplify by adding zeros.

$- 4 (2 w - 7) = 9 (2 - w)$

Step 1.3

Apply the distributive property.

$- 4 (2 w) - 4 \cdot - 7 = 9 (2 - w)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $- 4$ .

$- 8 w - 4 \cdot - 7 = 9 (2 - w)$

Step 1.4.2

Multiply $- 4$ by $- 7$ .

$- 8 w + 28 = 9 (2 - w)$

Step 2

Simplify $9 (2 - w)$ .

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Step 2.1

Apply the distributive property.

$- 8 w + 28 = 9 \cdot 2 + 9 (- w)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $9$ by $2$ .

$- 8 w + 28 = 18 + 9 (- w)$

Step 2.2.2

Multiply $- 1$ by $9$ .

$- 8 w + 28 = 18 - 9 w$

Step 3

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

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Step 3.1

Add $9 w$ to both sides of the equation.

$- 8 w + 28 + 9 w = 18$

Step 3.2

Add $- 8 w$ and $9 w$ .

$w + 28 = 18$

Step 4

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

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Step 4.1

Subtract $28$ from both sides of the equation.

$w = 18 - 28$

Step 4.2

Subtract $28$ from $18$ .

$w = - 10$