Simplify (v-7)/(v+6)*(10v+60)/(v-7)

$\frac{v - 7}{v + 6} \cdot \frac{10 v + 60}{v - 7}$

Factor $10$ out of $10 v + 60$ .

Factor $10$ out of $10 v$ .

$\frac{v - 7}{v + 6} \cdot \frac{10 (v) + 60}{v - 7}$

Factor $10$ out of $60$ .

$\frac{v - 7}{v + 6} \cdot \frac{10 v + 10 \cdot 6}{v - 7}$

Factor $10$ out of $10 v + 10 \cdot 6$ .

$\frac{v - 7}{v + 6} \cdot \frac{10 (v + 6)}{v - 7}$

Cancel the common factor of $v - 7$ .

Cancel the common factor.

$\frac{v - 7}{v + 6} \cdot \frac{10 (v + 6)}{v - 7}$

Rewrite the expression.

$\frac{1}{v + 6} \cdot (10 (v + 6))$

Cancel the common factor of $v + 6$ .

Factor $v + 6$ out of $10 (v + 6)$ .

$\frac{1}{v + 6} \cdot ((v + 6) \cdot 10)$

Cancel the common factor.

$\frac{1}{v + 6} \cdot ((v + 6) \cdot 10)$

Rewrite the expression.

$10$