Subjects algebra

Simplify Expression A91Aa0

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1. **Problem:** Simplify the expression $\frac{2a-8}{2}$ and state any excluded values. 2. **Formula and rules:** To simplify a rational expression, factor numerator and denominator if possible, then cancel common factors. Excluded values are those that make the denominator zero. 3. **Step 1: Factor numerator and denominator** $$2a - 8 = 2(a - 4)$$ Denominator is $2$. 4. **Step 2: Write the expression with factored numerator** $$\frac{2(a - 4)}{2}$$ 5. **Step 3: Cancel common factors** $$\frac{\cancel{2}(a - 4)}{\cancel{2}} = a - 4$$ 6. **Step 4: State excluded values** Denominator is $2$, which is never zero, so no excluded values. **Final answer:** $$a - 4$$