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$\"\"$

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To solve an absolute value equation, first write two equations.

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Equation 1: $\"\"$

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$\"\"$

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Equation 2: $\"\"$

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$\"\"$ \ \

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$\"\"$

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Solve equation 1.

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$\"\"$

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According to Subtraction property of equality: if $\"\"$ , then $\"\"$

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$\"\"$ (Subtract 4 from each side)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Multiply each side by 2)

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$\"\"$ (Cancel common terms)

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$\"\"$ \ \

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$

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Solve equation 2.

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$\"\"$ \ \

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$\"\"$ (Subtract 4 from each side)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Multiply each side by 2)

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(Cancel common terms)

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$

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The solution set is $\"\"$ $\"\"$

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