Let's break down the expression step by step:
The expression is: \[ 70 - (81 - 39) : 7 + 6 * 7 - 90 : 5 + 85 : 17 \]
Calculate the parentheses: \[ 81 - 39 = 42 \]
Rewrite the expression: \[ 70 - 42 : 7 + 6 * 7 - 90 : 5 + 85 : 17 \]
Perform the divisions: \[ 42 : 7 = 6 \] \[ 90 : 5 = 18 \] \[ 85 : 17 = 5 \]
Rewrite the expression: \[ 70 - 6 + 6 * 7 - 18 + 5 \]
Calculate \(6 * 7\): \[ 6 * 7 = 42 \]
Rewrite the expression: \[ 70 - 6 + 42 - 18 + 5 \]
Perform the additions and subtractions from left to right:
- First, \(70 - 6 = 64\)
- Then, \(64 + 42 = 106\)
- Next, \(106 - 18 = 88\)
- Finally, \(88 + 5 = 93\)
The final result is: \[ \boxed{93} \]