26 + m ≥ 5(−6 + 3m)

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

1. Start with the original inequality: 26 + m ≥ 5(-6 + 3m)

2. Distribute the 5 on the right side: 26 + m ≥ -30 + 15m

3. Subtract m from both sides: 26 ≥ -30 + 14m

4. Add 30 to both sides: 56 ≥ 14m

5. Divide both sides by 14: 4 ≥ m

So, the solution to the inequality is m ≤ 4.