Answer:
w = 9
Explanation:
1/2w + 7 = 2w - 2 <= Because 1/2 is a fraction, difficult to work with, I will multiply the entire equation by 2.
[1/2w + 7 = 2w - 2]*2
2w + 14 = 4w - 4
Using this equation, isolate w to solve:
Since there are variables and constants on both sides, separate them.
2w + 14 - 2w = 4w - 4 - 2w <= subtract 2w from both sides
14 = 2w - 4 <= only have variables on one side
14 + 4 = 2w - 4 + 4 <= add 4 to both sides
18 = 2w <= variables and constants are separated
18/2 = 2w/2 <=divide both sides by 2
9 = w
w = 9 <= variable on left side is standard formatting