Respuesta :

Answer:

n = -3

Step-by-step explanation:

5 + 0.5(6n + 14) = 3 ---> distribute the 0.5

5 + (3n + 7) = 3 ----> add 5 and 7

12 + 3n = 3 ---> minus 12 from both sides

3n = -9 --> divide by 3 on each side

n = -3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of n which satisfys the equation is ~

  • [tex] \boxed{n = - 3}[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's solve the equation to evaluate the value of n ~

  • [tex]5 + 0.5(6n + 14) = 3[/tex]

  • [tex]5 + 3n + 7 = 3[/tex]

  • [tex]3n + 12 = 3[/tex]

  • [tex]3n = 3 - 12[/tex]

  • [tex]3n = - 9[/tex]

  • [tex]n = - 9 \div 3[/tex]

  • [tex]n = - 3[/tex]

hence, the required value of n is :

  • [tex] \boxed{ - 3}[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

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