1. **Problem:** Simplify and solve the equation $2(3 - h) - 6 = -5h$ to find the value of $h$. 2. **Step 1: Expand the parentheses** using the distributive property: $$2 \times 3 - 2 \times h - 6 = -5h$$ which simplifies to $$6 - 2h - 6 = -5h$$ 3. **Step 2: Simplify the left side** by combining like terms: $$6 - 6 - 2h = -5h$$ which becomes $$-2h = -5h$$ 4. **Step 3: Add $5h$ to both sides** to get all $h$ terms on one side: $$-2h + 5h = -5h + 5h$$ which simplifies to $$3h = 0$$ 5. **Step 4: Divide both sides by 3** to isolate $h$: $$h = \frac{0}{3} = 0$$ 6. **Answer:** The value of the unknown $h$ is $0$. This solution uses the distributive property, combining like terms, and basic algebraic operations to isolate the variable.