To simplify the expression \((765 + 1835 : 5 - 97 \cdot 6) \cdot 3\), we need to follow the order of operations (PEMDAS/BODMAS).
Division and Multiplication from left to right:
- Calculate \(1835 : 5\): \[ 1835 \div 5 = 367 \]
- Calculate \(97 \cdot 6\): \[ 97 \cdot 6 = 582 \]
Substitute these values back into the expression: \[ (765 + 367 - 582) \cdot 3 \]
Addition and Subtraction inside the parentheses:
- First, calculate \(765 + 367\): \[ 765 + 367 = 1132 \]
- Then, calculate \(1132 - 582\): \[ 1132 - 582 = 550 \]
Now multiply by 3: \[ 550 \cdot 3 = 1650 \]
The result of the expression is: \[ \boxed{1650} \]
