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To simplify the expression \( \frac{3}{4}(1440) + 295.25 + (-33.50) \):
1. Calculate \( \frac{3}{4}(1440) \):
\[
\frac{3}{4} \times 1440 = 3 \times 360 = 1080
\]
2. Now add the other terms:
\[
1080 + 295.25 - 33.50
\]
3. First, add \( 1080 + 295.25 \):
\[
1080 + 295.25 = 1375.25
\]
4. Now, subtract \( 33.50 \):
\[
1375.25 - 33.50 = 1341.75
\]
Thus, the simplified expression gives us:
\[
\boxed{1341.75}
\]