Respuesta :

zoeyangelee

Answer:

-1

Step-by-step explanation:

Original Equation:

3n - 5 = -8(6 + 5n)

Use distributive property on the parentheses.

-8 ⋅ 6 = -48

-8 ⋅ 5n = -40n

Equation now:

3n - 5 = -48 - 40n

Add 40n to both sides.

43n - 5 = -48

Add 5 to both sides.

43n = -43

Divide both sides by 43

n = -1

(I might not be right. I am sorry if I am am wrong. Don't get mad at me)

Hope I helped :)

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 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

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 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Use~distributive~property~to~multiply~-8~by~6+5n:[/tex]

  • [tex]\bold{-8}[/tex] × [tex]\bold{6=-48}[/tex]
  • [tex]\bold{-8}[/tex] × [tex]\bold{5n=-40n}[/tex]
  • [tex]\bold{We~use~distributive~when~we~have~parenthesis~over~an~equal.}[/tex]

[tex]2.)~Add~40n~to~both~sides:[/tex]

  • [tex]\bold{-40+40n=Cancels~Out}[/tex]
  • [tex]\bold{3n+40n=43n}[/tex]
  • [tex]\bold{~In~this~case~we~add~since-40n~is~negative.}[/tex]

[tex]3.)~Add~5~to~both~sides:[/tex]

  • [tex]\bold{-5+5=Cancels~Out}[/tex]
  • [tex]\bold{-48+5=-43}[/tex]
  • [tex]\bold{~In~this~case~we~add~since-5~is~negative.}[/tex]

[tex]4.)~Divide~both~sides~by~43:[/tex]

  • [tex]\bold{43n}[/tex] ÷ [tex]\bold{43=Cancels~Out}[/tex]
  • [tex]\bold{-43}[/tex] ÷ [tex]\bold{43=-1}[/tex]
  • [tex]\bold{You~divide~by~the~number~attached~to~the~variable~to~get~n~alone.}[/tex]

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 [tex]\bold{Answer:}[/tex]

  • [tex]\bold{n=-1}[/tex]

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 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

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