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Solve inside the innermost parentheses: 6-12-(14-(-2-8) x A²) in step by step solution.

1 Answer

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Final answer:

To solve the innermost parentheses, calculate -2 - 8 which equals -10, and then 14 - (-10) which equals 24. The expression simplifies to -6 - 24 x A².

Step-by-step explanation:

To solve the expression 6-12-(14-(-2-8) x A²) step by step, we must follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right). Let's break it down:

First, simplify the expression inside the innermost parentheses:

-2-8 = -10

Now, substitute the simplified expression back into the original expression:

6-12-(14-(-10) x A²)

Next, solve the expression inside the parentheses:

14-(-10) = 24

Substitute the result back into the expression:

6-12-24 x A²

And finally, perform the multiplication:

24 x A² = 24A²

Substituting the result back into the expression:

6-12-24A²

Now, we can continue simplifying:

6-12 = -6

Substituting the result back into the expression:

-6-24A²

So, the final simplified expression is -6-24A².

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