Proof: Distributive Property 5

Let's prove the following theorem:

(a ⋅ c) + (b ⋅ c) = (a + b) ⋅ c

Proof:

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Proof Table
# Claim Reason
1 (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c) (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c)
2 (a ⋅ c) + (b ⋅ c) = (a + b) ⋅ c if (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c), then (a ⋅ c) + (b ⋅ c) = (a + b) ⋅ c

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