Algebra Examples

$f = \frac{g - h + k}{7}$

Step 1

Rewrite the equation as $\frac{g - h + k}{7} = f$ .

$\frac{g - h + k}{7} = f$

Step 2

Multiply both sides by $7$ .

$\frac{g - h + k}{7} \cdot 7 = f \cdot 7$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{g - h + k}{7} \cdot 7 = f \cdot 7$

Step 3.1.1.2

Rewrite the expression.

$g - h + k = f \cdot 7$

Step 3.2

Simplify the right side.

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Step 3.2.1

Move $7$ to the left of $f$ .

$g - h + k = 7 f$

Step 4

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

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Step 4.1

Subtract $g$ from both sides of the equation.

$- h + k = 7 f - g$

Step 4.2

Add $h$ to both sides of the equation.

$k = 7 f - g + h$