Final answer:
Due to apparent typos in the question, we cannot definitively solve for the value of m based on the provided expressions. However, by comparing options to the given expressions, option A (4w - 6) is most likely the intended correct match for 2m equaling 8w - 6.
Step-by-step explanation:
To find the value of m if AbW equals 2m, we need to set the given expressions for AbW equal to each other. The first expression provided is AbW = 8w - 6, and the second expression is AbW as twice the quantity (w + 11), which simplifies to 2w + 22.
When these two expressions for AbW are set equal to 2m, we then have 8w - 6 = 2m and 2w + 22 = 2m. However, both expressions must be equal to each other since they are both equal to AbW. Therefore, 8w - 6 = 2w + 22. Solving for w is not necessary because we need to express m in terms of w. Instead, we can solve for m directly:
- From the first equation, m = 4w - 3.
- From the second equation, m = w + 11.
Since both of these can't be true at the same time with our given options, we can see there is a mistake. It appears we need to find an equation that properly represents m. Both expressions for AbW should be equal, but since the question probably has a typo, we cannot determine m from the given information unambiguously. However, by comparing the original expression 8w - 6 to the options given, it is clear that option A (4w - 6) is the most appropriate choice. This is because 2m should be equal to 8w - 6, meaning m should equal 4w - 3, which is not an option. Therefore, we have to choose the closest match, which is option A.