Solve for n -6=3/7n

$- 6 = \frac{3}{7} n$

Rewrite the equation as $\frac{3}{7} n = - 6$ .

$\frac{3}{7} n = - 6$

Multiply both sides of the equation by $\frac{7}{3}$ .

$\frac{7}{3} \cdot \frac{3}{7} \cdot n = \frac{7}{3} \cdot - 6$

Simplify both sides of the equation.

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Simplify $\frac{7}{3} \cdot \frac{3}{7} \cdot n$ .

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Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7}{3} \cdot \frac{3}{7} \cdot n = \frac{7}{3} \cdot - 6$

Rewrite the expression.

$\frac{1}{3} \cdot 3 \cdot n = \frac{7}{3} \cdot - 6$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{1}{3} \cdot 3 \cdot n = \frac{7}{3} \cdot - 6$

Rewrite the expression.

$1 \cdot n = \frac{7}{3} \cdot - 6$

Multiply $n$ by $1$ .

$n = \frac{7}{3} \cdot - 6$

Simplify $\frac{7}{3} \cdot - 6$ .

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Cancel the common factor of $3$ .

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Factor $3$ out of $- 6$ .

$n = \frac{7}{3} \cdot (3 (- 2))$

Cancel the common factor.

$n = \frac{7}{3} \cdot (3 \cdot - 2)$

Rewrite the expression.

$n = 7 \cdot - 2$

Multiply $7$ by $- 2$ .

$n = - 14$

Solve for n -6=3/7n

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