Solve |-4-|-2|+||-2|-|-8|+|-1||1

$$| - 4 - | - 2 | + | | - 2 | - | - 8 | + | - 1 | | 1$$

Evaluate

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Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$|-4-2+||-2|-|-8|+|-1||\times 1|$$

Subtract 2 from -4 to get -6.

$$|-6+||-2|-|-8|+|-1||\times 1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$|-6+|2-|-8|+|-1||\times 1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -8 is 8.

$$|-6+|2-8+|-1||\times 1|$$

Subtract 8 from 2 to get -6.

$$|-6+|-6+|-1||\times 1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.

$$|-6+|-6+1|\times 1|$$

Add -6 and 1 to get -5.

$$|-6+|-5|\times 1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$|-6+5\times 1|$$

Multiply 5 and 1 to get 5.

$$|-6+5|$$

Add -6 and 5 to get -1.

$$|-1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.

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Factor

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