# Commutative property fails?

Algebra Level 1

I will attempt to prove that $$\frac00 = 1$$. In which of these steps did I first make a mistake by using flawed logic?

Step 1: We can rewrite 15 as $$7 + 8$$ or $$8 + 7$$.
Step 2: This means that $$7 + 8 = 8+ 7$$.
Step 3: If we move one term from each side of the equation to the other side, we will get $7-7 = 8-8.$ Step 4: Dividing both sides by $$8-8$$ gives $$\frac{7-7}{8-8} = 1$$.
Step 5: Since $$7-7= 0$$ and $$8-8 = 0$$, $$\frac00 = 1$$.

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