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To solve the equation \( 44 = -11b + 33 \), we can follow these steps:
1. Subtract 33 from both sides:
\[
44 - 33 = -11b
\]
\[
11 = -11b
\]
2. Divide both sides by -11:
\[
b = \frac{11}{-11}
\]
\[
b = -1
\]
Therefore, the solution is \( b = -1 \).