−4v−2(3v+9)≤9v−2+v

Sure, let's solve the inequality step by step:

1. Distribute the -2 across the terms in the parentheses: -4v - 23v - 29 ≤ 9v - 2 + v
2. This simplifies to: -4v - 6v - 18 ≤ 10v - 2
3. Combine like terms: -10v - 18 ≤ 10v - 2
4. Add 10v to both sides to isolate the variable on one side: -18 ≤ 20v - 2
5. Add 2 to both sides: -16 ≤ 20v
6. Divide both sides by 20 to solve for v: v ≥ -16/20
7. Simplify the fraction: v ≥ -4/5

So, the solution to the inequality -4v - 2(3v + 9) ≤ 9v - 2 + v is v ≥ -4/5.