Algebra Examples

$\frac{k + m}{- 7} = n$

Step 1

Multiply both sides of the equation by $- 7$ .

$- 7 \frac{k + m}{- 7} = - 7 n$

Step 2

Simplify the left side.

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Step 2.1

Simplify $- 7 \frac{k + m}{- 7}$ .

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Step 2.1.1

Cancel the common factor of $7$ .

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Step 2.1.1.1

Factor $7$ out of $- 7$ .

$7 (- 1) \frac{k + m}{- 7} = - 7 n$

Step 2.1.1.2

Factor $7$ out of $- 7$ .

$7 \cdot - 1 \frac{k + m}{7 \cdot - 1} = - 7 n$

Step 2.1.1.3

Cancel the common factor.

$7 \cdot - 1 \frac{k + m}{7 \cdot - 1} = - 7 n$

Step 2.1.1.4

Rewrite the expression.

$- \frac{k + m}{- 1} = - 7 n$

$- \frac{k + m}{- 1} = - 7 n$

Step 2.1.2

Simplify the expression.

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Step 2.1.2.1

Move the negative one from the denominator of $\frac{k + m}{- 1}$ .

$- (- 1 \cdot (k + m)) = - 7 n$

Step 2.1.2.2

Rewrite $- 1 \cdot (k + m)$ as $- (k + m)$ .

$- - (k + m) = - 7 n$

$- - (k + m) = - 7 n$

Step 2.1.3

Apply the distributive property.

$- (- k - m) = - 7 n$

Step 2.1.4

Apply the distributive property.

$- - k - - m = - 7 n$

Step 2.1.5

Multiply $- - k$ .

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Step 2.1.5.1

Multiply $- 1$ by $- 1$ .

$1 k - - m = - 7 n$

Step 2.1.5.2

Multiply $k$ by $1$ .

$k - - m = - 7 n$

$k - - m = - 7 n$

Step 2.1.6

Multiply $- - m$ .

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Step 2.1.6.1

Multiply $- 1$ by $- 1$ .

$k + 1 m = - 7 n$

Step 2.1.6.2

Multiply $m$ by $1$ .

$k + m = - 7 n$

$k + m = - 7 n$

$k + m = - 7 n$

$k + m = - 7 n$

Step 3

Subtract $m$ from both sides of the equation.

$k = - 7 n - m$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$