$\"\"$

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

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The equation is $\"\"$ .

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Write two cases:

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Case-1: $\"\"$

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$\"\"$

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Case-2: $\"\"$

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

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Solve the equation for Case-1.

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$\"\"$

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Apply addition property of equality: Add 8 to each side.

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$\"\"$

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

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$\"\"$ (Apply Additive identity property: $\"\"$ )

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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Apply division property of equality: Divide each side by 5.

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$\"\"$

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$\"\"$ (Cancel common terms)

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

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Check:

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To check the solution, substitute $\"\"$ in original equation.

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$\"\"$

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

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

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$\"\"$ (The absolute value of 12 is 12)

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Compare the values the equation is true. $\"\"$ is a solution. $\"\"$

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Solve the equation for Case-2.

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$\"\"$

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Apply addition property of equality: Add 8 to each side.

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$\"\"$

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

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$\"\"$ (Apply Additive identity property: $\"\"$ )

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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Apply division property of equality: Divide both sides by 5.

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$\"\"$

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$\"\"$ (Cancel Common Terms) $\"\"$

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Check:

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To check the solution, substitute $\"\"$ in original equation.

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$\"\"$

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$\"\"$ (Cancel common terms)

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

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$\"\"$ (The absolute value of -12 is 12)

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Compare the values the equation is true. $\"\"$ is a solution.

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$\"\"$

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The solution set is $\"\"$ .