$\"\"$

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The equation is $\"\"$ .

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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: 10 $\"\"$ 6 = 4) $\"\"$

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Apply subtraction property of equality: Subtract $\"\"$ from each side.

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$\"\"$

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Apply commutative property of addition: a + b = b + a.

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$\"\"$

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

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$\"\"$ (Apply distributive property: ba $\"\"$ ca = (b $\"\"$ c)a) $\"\"$

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To subtract fractions the denominators must be equal.

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Find the least common denominator (LCD).

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Multiples of 5: 5,10,15,20,25,.............

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Multiples of 3: 3,6,9,12,15,18,21,.......

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The least common multiple of 3 and 5 is 15.

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Rewrite each fraction with a common denominator 15.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (LCM is 15)

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$\"\"$ (Subtract: 6 $\"\"$ 10 = $\"\"$ 4) $\"\"$

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Apply multiplication property of equality: Multiply each side by negative $\"\"$ .

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

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

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

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0 = 0 (Apply additive inverse property: $\"\"$ )

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The equality is true. $\"\"$

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The value of $\"\"$ .