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4.7(2f - 0.5) = -6(1.6f-8.3f) Put answer in exact value form.

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schooledmom | Salutatorian

Posted August 18, 2013 at 6:04 PM via web

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4.7(2f - 0.5) = -6(1.6f-8.3f)

Put answer in exact value form.

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted August 18, 2013 at 6:27 PM (Answer #1)

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Solve 4.7(2f-0.5)=-6(1.6f-8.3f):

4.7(2f-0.5)=-6(1.6f-8.3f) Add the like terms in the parantheses

4.7(2f-0.5)=-6(-6.7f)   Use the distributive property to eliminate parantheses

9.4f-2.35=40.2f     Subtract 9.4f from both sides

-2.35=30.8f          Use the symmetric property

30.8f=-2.35          Divide both sides by 30.8

`f=-47/616`

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The solution is `f=-47/616`

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Check:

left side: `4.7(2(-47/616)-0.5)=4.7(-94/616-308/616)`

`=4.7(-201/308)=-9447/3080`

right side: `-6(1.6(-47/616)-8.3(-47/616))=-6(-47/385+3901/6160)`

`=-6(3149/6160)=-9447/3080` as required.

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