(9) \( \{70-[24+8-(300-80): 10] \cdot 11-28\}-2 \cdot 7= \)
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The Deep Dive
Let’s solve the expression step by step: First, simplify inside the parentheses: 1. **Inside the brackets**: \[ 300 - 80 = 220 \] Then perform the division: \[ 220 : 10 = 22 \] Now substitute back: \[ 70 - [24 + 8 - 22] \cdot 11 - 28 \] 2. **Next, simplify further inside the brackets**: \[ 24 + 8 = 32 \] So, \[ 32 - 22 = 10 \] Substitute that value back in: \[ 70 - [10 \cdot 11] - 28 \] 3. **Multiply**: \[ 10 \cdot 11 = 110 \] Now it looks like this: \[ 70 - 110 - 28 \] 4. **Now carry out the subtractions**: \[ 70 - 110 = -40 \] Then: \[ -40 - 28 = -68 \] Finally, don’t forget to subtract the last part of the equation, which is: \[ -68 - 2 \cdot 7 \] Multiply \( 2 \cdot 7 \): \[ 2 \cdot 7 = 14 \] Now subtract: \[ -68 - 14 = -82 \] Thus, the final answer is: \[ \boxed{-82} \]
