Question

Solve the absolute value equation :| 10n - 8| + 16 = 4

Answer 1

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

Answer 2

Answer:

 $\boxed{n=-2}$

Solution Steps:

- Steps for solving an absolute value equation-

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1.) Find the absolute value:

• $|10n-8|=10n+8$

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

Equation at the end of this step:

• $10n+8+16=4$

2.) Add 8 and 16:

• $8+16=24$

Equation at the end of this step:

• $10n+24=4$

3.) Subtract 24 from both sides:

• $24-24=$ Cancels out

• $4-24=-20$

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

Equation at the end of this step:

• $10n=-20$

4.) Divide both sides by 10:

• $10n$ ÷ $10=n$

• $-20$ ÷ $10=-2$

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

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