# How do you simplify #-|7 + 1| - |4 - 8| + |-2 -6| - |3 - 6| #?

Simplify what's inside the absolute value signs, then solve to get

The four absolute value brackets in this question are going to take the answer within them and turn it into a positive value, so let's do the math inside of them, flip the sign from negative to positive when necessary, and then finish the calculation.

Initially, let's look at the original:

Number-|7+1|-|4-8|+|-2-6|-|3-6|#

The math inside the brackets is done first:

Eight|-|-4|+|-8|-|-3|#

We now take each bracket's absolute value:

Alright, let's perform the last calculation to simplify the expression:

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To simplify the expression, follow the order of operations: first evaluate the absolute values, then perform addition and subtraction.

|7 + 1| = |8| = 8 |4 - 8| = |-4| = 4 |-2 - 6| = |-8| = 8 |3 - 6| = |-3| = 3

Now substitute these values back into the expression:

-|8| - |4| + |8| - |3|

-8 - 4 + 8 - 3

Combine like terms:

-8 + 8 - 4 - 3

0 - 4 - 3

-4 - 3

-7

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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