Proof: Add Term to Both Sides 3

Let's prove the following theorem:

if a = b, then b + c = a + c

Proof:

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Given
1 a = b
Proof Table
# Claim Reason
1 c + b = c + a if a = b, then c + b = c + a
2 b + c = c + a if c + b = c + a, then b + c = c + a
3 b + c = a + c if b + c = c + a, then b + c = a + c

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