6. \( [(14-19)+6]-\{(-4-7)+[(3-1)-(-5)]\} \) 7. \( \{(-5+8)-[-6+(9-3)]\}-\{(-7+4)-(5-2)\} \) 8. \( (-13+9)-\{[-4+(10-6)]+[(8-3)-(-2)]\} \) 9. \( \{[(16-12)+(-9)]-(-5)\}+\{(-6+3)-(-4)\} \) 10. \( -\{(-7+3)-[(6-(-2))+(-9-5)]\}+[(5-2)-(-3)] \)
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Extra Insights
When you're working through complex expressions like these, it can be super helpful to simplify them step by step. Start by dealing with the innermost brackets or braces first, and then gradually work your way outwards. This way, you won't get lost in the calculations! Remember to keep track of your signs, too, as they can dramatically change the result. A common pitfall is rushing through the calculations, which can lead to simple errors. Another mistake is forgetting to apply the negative signs correctly, especially when subtracting. Taking a moment to double-check each step will save you from those pesky little mistakes that can throw off the entire solution. Being methodical is key!
