# How do you solve #abs(4w - 1) = 5w + 37#?

Separate the equation into a positive equation and a negative equation.

Positive equation

Check.

Negative equation

Check.

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To solve the equation abs(4w - 1) = 5w + 37, you need to consider two cases: when 4w - 1 is positive and when it's negative.

- When 4w - 1 is positive, the equation becomes 4w - 1 = 5w + 37. Solve for w.
- When 4w - 1 is negative, the equation becomes -(4w - 1) = 5w + 37. Solve for w. After finding the solutions for both cases, check if they satisfy the original equation.

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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.

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