1. **Problem:** Evaluate $\frac{6(w - 4)}{8}$ for $w = -4$. 2. **Formula:** Substitute $w$ into the expression and simplify. 3. **Step 1:** Substitute $w = -4$: $$\frac{6(-4 - 4)}{8} = \frac{6(-8)}{8}$$ 4. **Step 2:** Multiply numerator: $$\frac{-48}{8}$$ 5. **Step 3:** Simplify fraction: $$\frac{\cancel{-48}}{\cancel{8}} = -6$$ --- 1. **Problem:** Evaluate $\frac{w}{2} + 3w$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$\frac{-4}{2} + 3(-4)$$ 3. **Step 2:** Simplify each term: $$-2 - 12$$ 4. **Step 3:** Add: $$-14$$ --- 1. **Problem:** Evaluate $w(2 - 6)$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$-4(2 - 6)$$ 3. **Step 2:** Simplify inside parentheses: $$-4(-4)$$ 4. **Step 3:** Multiply: $$16$$ --- 1. **Problem:** Evaluate $w^2 - 4$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$(-4)^2 - 4$$ 3. **Step 2:** Square $-4$: $$16 - 4$$ 4. **Step 3:** Subtract: $$12$$ --- 1. **Problem:** Evaluate $\frac{10w}{-8} + 2w$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$\frac{10(-4)}{-8} + 2(-4) = \frac{-40}{-8} - 8$$ 3. **Step 2:** Simplify fraction: $$5 - 8$$ 4. **Step 3:** Add: $$-3$$ --- 1. **Problem:** Evaluate $\frac{w - 6}{2}$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$\frac{-4 - 6}{2} = \frac{-10}{2}$$ 3. **Step 2:** Simplify fraction: $$-5$$ --- 1. **Problem:** Evaluate $\left(\frac{64}{w^2}\right)(w + 6)$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$\left(\frac{64}{(-4)^2}\right)(-4 + 6) = \left(\frac{64}{16}\right)(2)$$ 3. **Step 2:** Simplify fraction: $$4 \times 2$$ 4. **Step 3:** Multiply: $$8$$ --- 1. **Problem:** Evaluate $\frac{w(16 - 8)}{-2}$ for $w = -4$. 2. **Step 1:** Substitute $w = -4$: $$\frac{-4(16 - 8)}{-2} = \frac{-4(8)}{-2}$$ 3. **Step 2:** Multiply numerator: $$\frac{-32}{-2}$$ 4. **Step 3:** Simplify fraction: $$16$$