Final answer:
To solve for w in the equation 3(-5.8w) = 22.62, distribute the 3, isolate w, and then divide 22.62 by -17.4 to get w = (1) -1.3.
Step-by-step explanation:
To find the value of w in the equation 3(-5.8w) = 22.62, you should follow these steps:
- Distribute the 3 into the parentheses: -17.4w = 22.62.
- Divide both sides of the equation by -17.4 to isolate w: w = 22.62 / -17.4.
- Calculate the division: w = -1.3.
The correct value for w is -1.3, which corresponds to option 1).