Respuesta :

xKelvin

Answer:

[tex]n=-4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2+4(2-3n)=58[/tex]

First, distribute the second term:

[tex]2+4(2)-4(3n)=58\\2+8-12n=58[/tex]

Add the left side:

[tex]10-12n=58[/tex]

Subtract both sides by 10. The left side cancels:

[tex](10-12n)-10=(58)-10\\-12n=48[/tex]

Divide both sides by -12. The left side cancels:

[tex](-12n)/-12=(48)/-12\\n=-4[/tex]

Therefore, the value of n is -4.

⇒2 + 4(2 - 3n) = 58

⇒4(2 - 3n) = 58 - 2

⇒2*4 - 3n*4 = 56

⇒8 - 12n = 56

⇒-12n = 56 - 8

⇒-12n = 48

⇒-n = 48/12

⇒-n = 4

⇒n = - 4

Hence, value of n is - 4

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