Basic Math Examples

$9 = - \frac{w + 10}{- 9}$

Step 1

Rewrite the equation as $- \frac{w + 10}{- 9} = 9$ .

$- \frac{w + 10}{- 9} = 9$

Step 2

Multiply both sides of the equation by $9$ .

$9 (- \frac{w + 10}{- 9}) = 9 \cdot 9$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $9 (- \frac{w + 10}{- 9})$ .

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Step 3.1.1.1

Cancel the common factor of $9$ .

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Step 3.1.1.1.1

Move the leading negative in $- \frac{w + 10}{- 9}$ into the numerator.

$9 \frac{- (w + 10)}{- 9} = 9 \cdot 9$

Step 3.1.1.1.2

Factor $9$ out of $- 9$ .

$9 \frac{- (w + 10)}{9 (- 1)} = 9 \cdot 9$

Step 3.1.1.1.3

Cancel the common factor.

$9 \frac{- (w + 10)}{9 \cdot - 1} = 9 \cdot 9$

Step 3.1.1.1.4

Rewrite the expression.

$\frac{- (w + 10)}{- 1} = 9 \cdot 9$

Step 3.1.1.2

Dividing two negative values results in a positive value.

$\frac{w + 10}{1} = 9 \cdot 9$

Step 3.1.1.3

Divide $w + 10$ by $1$ .

$w + 10 = 9 \cdot 9$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $9$ by $9$ .

$w + 10 = 81$

Step 4

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

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Step 4.1

Subtract $10$ from both sides of the equation.

$w = 81 - 10$

Step 4.2

Subtract $10$ from $81$ .

$w = 71$