-71>-11+6a

Add 11 to both sides of the inequality to move the constant term to the left side.

$$-71 > -11 + 6a$$ $$-71 + 11 > -11 + 6a + 11$$ $$-60 > 6a$$

Divide both sides by 6 to solve for 'a'. Since we are dividing by a positive number, the inequality sign remains the same.

$$\frac{-60}{6} > \frac{6a}{6}$$ $$-10 > a$$

This can also be written as:

$$a < -10$$