Basic Math Examples

$- \frac{W}{4} + 3 = 8$

Step 1

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

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Step 1.1

Subtract $3$ from both sides of the equation.

$- \frac{W}{4} = 8 - 3$

Step 1.2

Subtract $3$ from $8$ .

$- \frac{W}{4} = 5$

Step 2

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{W}{4}) = - 4 \cdot 5$

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 $- 4 (- \frac{W}{4})$ .

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Step 3.1.1.1

Cancel the common factor of $4$ .

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Step 3.1.1.1.1

Move the leading negative in $- \frac{W}{4}$ into the numerator.

$- 4 \frac{- W}{4} = - 4 \cdot 5$

Step 3.1.1.1.2

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- W}{4} = - 4 \cdot 5$

Step 3.1.1.1.3

Cancel the common factor.

$4 \cdot - 1 \frac{- W}{4} = - 4 \cdot 5$

Step 3.1.1.1.4

Rewrite the expression.

$- - W = - 4 \cdot 5$

Step 3.1.1.2

Multiply.

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Step 3.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 W = - 4 \cdot 5$

Step 3.1.1.2.2

Multiply $W$ by $1$ .

$W = - 4 \cdot 5$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 4$ by $5$ .

$W = - 20$