Respuesta :

(10n -8)+16=4 the absolute value equation is 8(-10n-2)+5=101

Answer:

 [tex]\boxed{n=-2}[/tex]

Solution Steps:

- Steps for solving an absolute value equation-

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1.) Find the absolute value:

  • [tex]|10n-8|=10n+8[/tex]

- Absolute value just means if there is any negatives then make them positive.

Equation at the end of this step:

  • [tex]10n+8+16=4[/tex]

2.) Add 8 and 16:

  • [tex]8+16=24[/tex]

Equation at the end of this step:

  • [tex]10n+24=4[/tex]

3.) Subtract 24 from both sides:

  • [tex]24-24=[/tex] Cancels out
  • [tex]4-24=-20[/tex]

- Since it was adding, you do the opposite, which is why we subtracted.

Equation at the end of this step:

  • [tex]10n=-20[/tex]

4.) Divide both sides by 10:

  • [tex]10n[/tex] ÷ [tex]10=n[/tex]
  • [tex]-20[/tex] ÷ [tex]10=-2[/tex]

- Since it was multiplying, you do the opposite, which is why we divided.

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