Solve for p.

3+|1+p|=123+|1+p|=12



A. p = 8 or p=−10p=−10

B. p = 14 or p=−16p=−16

C. p = 10 or p=−10p=−10

D. p = 8 or p=−8

Fix your typo. You have two "=" signs

Your choices are garbled, as well.

To solve for p, we need to isolate the variable on one side of the equation.

Let's break down the equation step by step:

1. Start with the equation: 3 + |1 + p| = 123 + |1 + p| = 12.

2. Notice that we have two absolute value expressions: |1 + p|. To simplify this, we'll consider two cases, one where |1 + p| is positive, and one where it is negative.

Case 1: 1 + p is positive
This means that 1 + p is greater than or equal to 0. In other words, p ≥ -1.

In this case, we can remove the absolute value bars, and the equation becomes:
3 + 1 + p = 12
4 + p = 12
p = 12 - 4
p = 8.

So one solution is p = 8.

Case 2: 1 + p is negative
This means that 1 + p is less than 0. In other words, p < -1.

In this case, we need to negate the absolute value of 1 + p, so the equation becomes:
3 - (1 + p) = 12
3 - 1 - p = 12
2 - p = 12
-p = 12 - 2
-p = 10
p = -10.

So another solution is p = -10.

Therefore, the answer is A. p = 8 or p = -10.