Answer:
The form of hypothetical syllogism is;
If P, then Q.
If Q, then R.
Therefore, if P, then R.
From the given statement we have:
M represents "If a, b, and c are real numbers such that a=b",
N represents "a+c=b+c"
O represents "c+a=c+b".
we have;
If M, then N
If N, then O
Therefore, by hypothetical syllogism.
therefore, if M, then O.
Therefore, the statement completes the syllogism is:
If a+c=b+c, then c+a=c+b.