Final answer:
Combine like terms in the equation -(3w - 2) - w = 30 to find the value of w, which is -7.
Step-by-step explanation:
The solution to the equation -(3w - 2) - w = 30 involves combining like terms and then solving for w. First, distribute the negative sign inside the parentheses to get -3w + 2 - w = 30. Next, combine like terms to get -4w + 2 = 30. Subtracting 2 from both sides gives us -4w = 28. Finally, dividing both sides by -4 yields w = -7. So, the value of w that satisfies the equation is -7.