$\"\"$

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The equation is $\"\"$ .

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Case 1: If a = b,Then

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$\"\"$

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Case 2: If a = $\"\"$ b, Then

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$\"\"$ $\"\"$

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Solve equation for case 1.

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$\"\"$

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Apply subtraction property of equality: Subtract 6 from each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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

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Apply division property of equality: Divide each side by negative 4.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Solve equation for case 2.

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$\"\"$

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Apply subtraction property of equality: Subtract 6 from each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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

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Apply division property of equality: Divide each side by negative 4.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Graph the solution on a number line. $\"absolute$ $\"\"$

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The equality solution set is { $\"\"$ 1.5 or 4.5}.