$\"\"$

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

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The equation is $\"\"$ .

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Apply division property of equality: Divide each side by 7.

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$\"\"$

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$\"\"$ (Cancel common terms)

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

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Write two cases:

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Case-1: a = b

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$\"\"$

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Case-2: a = $\"\"$ b

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

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Solve the equation for Case-2.

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Apply addition property of equality: Add 13 to each side.

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$\"\"$

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

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$\"\"$ (Add: 5 + 13 = 18)

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$\"\"$ (Divide each side by 4)

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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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$\"\"$ (Absolute value: |5| = 5)

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35 = 35 (Multiply: $\"\"$ )

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

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$\"\"$

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Solve the equation for Case-2.

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Apply addition property of equality: Add 13 to each side.

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$\"\"$

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

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

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$\"\"$ (Divide each side by 4)

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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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$\"\"$ (Absolute value: | $\"\"$ 5| = 5)

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35 = 35 (Multiply: $\"\"$ )

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

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$\"\"$

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The solutions are $\"\"$ and 2.

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The solution set is $\"\"$ .