$\"\"$

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The equation is $\"\"$ .

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Apply addition property of equality: Add $\"\"$ form each side.

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$\"\"$

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

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Find the least common denominator (LCD).

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Multiples of 6: 6,12,18,24,30,36,42,..........

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Multiples of 8: 8,16,24,32,40,48,..........

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The least common multiple of 6 and 8 is 24.

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Rewrite each fraction with a common denominator of 24.

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$\"\"$

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

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Rewrite fractions using the LCD 24.

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$\"\"$

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

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

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$\"\"$

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

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

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The equation is true. $\"\"$

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The value is $\"\"$ .