1/3 (2w-6)= -10
subtract 2w from each side
1/3(2w-2w-6)= -10-2w
1/3-6 = -8w
add 6 to each side
1/3-6+6=-8w+6
1/3=-2w
bobprusly what do i do from here am i correct so far???
It seems like there might be a mistake in your calculations. Let's go through the problem step by step to clarify.
Starting with the equation:
1/3(2w - 6) = -10
To simplify this equation, we can distribute the 1/3 to each term inside the parentheses:
(1/3) * 2w - (1/3) * 6 = -10
Simplifying further:
(2/3)w - 2 = -10
To isolate the variable term, we need to get rid of the constant term (-2) on the left side. To do this, we can add 2 to both sides of the equation:
(2/3)w - 2 + 2 = -10 + 2
(2/3)w = -8
Next, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2), to solve for w:
(3/2) * (2/3)w = (3/2) * (-8)
The (2/3) and (3/2) terms will cancel each other out on the left side, leaving us with:
w = (3/2) * (-8)
Now, we can simplify the right side of the equation:
w = -12
So, the solution to the equation is w = -12.
I apologize if there was any confusion earlier. Make sure to check your calculations again to ensure accuracy.