Let's break down the expression step by step according to the order of operations (PEMDAS/BODMAS).
The expression is:
\[ 70 - (81 - 39) : 7 + 6 * 7 - 90 : 5 + 85 : 17 \]
Parentheses first: Calculate \( (81 - 39) \). \[ 81 - 39 = 42 \]
Now substitute this back into the expression: \[ 70 - 42 : 7 + 6 * 7 - 90 : 5 + 85 : 17 \]
Next, perform the division:
- Calculate \( 42 : 7 \): \[ 42 ÷ 7 = 6 \]
- Calculate \( 90 : 5 \): \[ 90 ÷ 5 = 18 \]
- Calculate \( 85 : 17 \): \[ 85 ÷ 17 = 5 \]
Substituting these values back into the expression gives: \[ 70 - 6 + 6 * 7 - 18 + 5 \]
Next, perform multiplication:
- Calculate \( 6 * 7 \): \[ 6 * 7 = 42 \]
Substituting this value in: \[ 70 - 6 + 42 - 18 + 5 \]
Now perform addition and subtraction from left to right:
- First, \( 70 - 6 = 64 \)
- Then, \( 64 + 42 = 106 \)
- Next, \( 106 - 18 = 88 \)
- Finally, \( 88 + 5 = 93 \)
So, the final result of the expression is:
\[ \boxed{93} \]