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So we have \[ -7(-2n-5)=147\] We have to distribute, so \[14n+35\] this comes from the -7(-2n-5) part of the equation. Now we must subtract 35 from each side! \[14n+35-35=147-35\] Furthermore, we must simplify. \[14n=112\] Divide the numbers by the SAME factor, \[\frac{ 14n }{ 14 }=\frac{ 112 }{ 14 }\] If you divide the numbers you get your answer which is, \[n=8\] I hope this helped!
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We have, \[-5(3n+6)=-105\] 1. We must distribute! \[-15n-30=-105\] 2. Add 30 to both sides \[-15n-30+30=-105+30\] 3. Simplify \[-15n=-75\] 4. Divide \[\frac{ -15n }{ -15 }=\frac{ -75 }{ -15 }\] 5. Simplify and get answer \[n=5\]
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