Proof: Add Term to Both Sides 7

Let's prove the following theorem:

if a + b = c, then b = c + (a ⋅ (-1))

Proof:

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

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