To solve the expression \( 465:(141+14\cdot22-11\cdot38)+594:33 \), we will calculate each part step by step.
Start with the inner calculations within the parentheses: \[ 14 \cdot 22 = 308 \] \[ 11 \cdot 38 = 418 \]
Now substitute those values back into the expression: \[ 141 + 308 - 418 \]
Perform the addition and subtraction: \[ 141 + 308 = 449 \] \[ 449 - 418 = 31 \]
Now we have: \[ 465:31 + 594:33 \]
Calculate \( 465:31 \) and \( 594:33 \): \[ 465 \div 31 = 15 \] \[ 594 \div 33 = 18 \]
Now add these results together: \[ 15 + 18 = 33 \]
Thus, the final answer is: \[ \boxed{33} \]