Pre-Algebra Examples

$- 12 = 8 + \frac{f}{2}$

Step 1

Rewrite the equation as $8 + \frac{f}{2} = - 12$ .

$8 + \frac{f}{2} = - 12$

Step 2

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

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Step 2.1

Subtract $8$ from both sides of the equation.

$\frac{f}{2} = - 12 - 8$

Step 2.2

Subtract $8$ from $- 12$ .

$\frac{f}{2} = - 20$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{f}{2} = 2 \cdot - 20$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1

Cancel the common factor.

$2 \frac{f}{2} = 2 \cdot - 20$

Step 4.1.1.2

Rewrite the expression.

$f = 2 \cdot - 20$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $2$ by $- 20$ .

$f = - 40$