How do you solve #5+8abs(-10n-2)=101#?
See a solution process below:
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
Solution 1:
Solution 2:
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To solve the equation 5 + 8|−10n − 2| = 101, follow these steps:
- Subtract 5 from both sides to isolate the absolute value term: 8|−10n − 2| = 96.
- Divide both sides by 8: |−10n − 2| = 12.
- Rewrite the equation as two separate equations, one with a positive and one with a negative absolute value: -10n - 2 = 12 and -10n - 2 = -12.
- Solve each equation separately for n: -10n = 14 (for the positive case) and -10n = -10 (for the negative case).
- Divide both sides by -10: n = -1.4 (for the positive case) and n = 1 (for the negative case).
So, the solutions are n = -1.4 and n = 1.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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