Solve for k (k+m)/-7=n

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

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

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

Simplify the left side.

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

Cancel the common factor of $7$ .

Factor $7$ out of $- 7$ .

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

Factor $7$ out of $- 7$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Simplify the expression.

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

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

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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Multiply $- - k$ .

Multiply $- 1$ by $- 1$ .

$1 k - - m = - 7 n$

Multiply $k$ by $1$ .

$k - - m = - 7 n$

$k - - m = - 7 n$

Multiply $- - m$ .

Multiply $- 1$ by $- 1$ .

$k + 1 m = - 7 n$

Multiply $m$ by $1$ .

$k + m = - 7 n$

$k + m = - 7 n$

$k + m = - 7 n$

$k + m = - 7 n$

Subtract $m$ from both sides of the equation.

$k = - 7 n - m$

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