Basic Math Examples

$- 24 = \frac{k}{- 6} - 15$

Step 1

Rewrite the equation as $\frac{k}{- 6} - 15 = - 24$ .

$\frac{k}{- 6} - 15 = - 24$

Step 2

Move the negative in front of the fraction.

$- \frac{k}{6} - 15 = - 24$

Step 3

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

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Step 3.1

Add $15$ to both sides of the equation.

$- \frac{k}{6} = - 24 + 15$

Step 3.2

Add $- 24$ and $15$ .

$- \frac{k}{6} = - 9$

Step 4

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{k}{6}) = - 6 \cdot - 9$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $- 6 (- \frac{k}{6})$ .

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Step 5.1.1.1

Cancel the common factor of $6$ .

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Step 5.1.1.1.1

Move the leading negative in $- \frac{k}{6}$ into the numerator.

$- 6 \frac{- k}{6} = - 6 \cdot - 9$

Step 5.1.1.1.2

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- k}{6} = - 6 \cdot - 9$

Step 5.1.1.1.3

Cancel the common factor.

$6 \cdot - 1 \frac{- k}{6} = - 6 \cdot - 9$

Step 5.1.1.1.4

Rewrite the expression.

$- - k = - 6 \cdot - 9$

Step 5.1.1.2

Multiply.

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Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 k = - 6 \cdot - 9$

Step 5.1.1.2.2

Multiply $k$ by $1$ .

$k = - 6 \cdot - 9$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $- 6$ by $- 9$ .

$k = 54$