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Verified Answer :

\(-\frac{9}{3}\) + b = -1
Simplify \(-\frac{9}{3}\), which is: -3
-3 + b = -1
take -3 to the other side
-3 (+3) + b = -1 + (3)
-3 and + 3 cancels out
b = 2

Check:
\(-\frac{9}{3}\) + (2) = -1
-3 + 2 = -1
-1 = -1