Final answer:
To rearrange -2u + 6w = 9 so that w is the independent variable, add 2u to both sides and then divide by 6, resulting in w = (9 + 2u) / 6.
Step-by-step explanation:
To rearrange the given equation -2u + 6w = 9 so that w is the independent variable, follow these steps:
- Move -2u to the other side of the equation by adding 2u to both sides, resulting in 6w = 9 + 2u.
- Divide both sides of the equation by 6 to solve for w, which gives us w = (9 + 2u) / 6.
This process isolates w on one side of the equation, making it the independent variable.