1. **State the problem:** Solve for $v$ in the equation $$-6v = - \frac{12}{7}$$. 2. **Isolate $v$:** To solve for $v$, divide both sides of the equation by $-6$. 3. **Write the division step:** $$v = \frac{- \frac{12}{7}}{-6}$$ 4. **Simplify the right side:** Dividing by $-6$ is the same as multiplying by $\frac{1}{-6}$: $$v = - \frac{12}{7} \times \frac{1}{-6}$$ 5. **Cancel negatives:** The negatives cancel out: $$v = \frac{12}{7} \times \frac{1}{6}$$ 6. **Multiply numerators and denominators:** $$v = \frac{12 \times 1}{7 \times 6} = \frac{12}{42}$$ 7. **Simplify the fraction:** Both numerator and denominator are divisible by 6: $$v = \frac{\cancel{12}^{2}}{\cancel{42}^{7}} = \frac{2}{7}$$ **Final answer:** $$v = \frac{2}{7}$$