3 / 4 w + 8 = 1 / 3 w - 7
Multiply by LCD = 4 ( w + 2 )(3w - 7)
3(3w-7) = 4(w + 2)
3*3w - 3*7 = 4 * w + 4 * 2
9 w - 21 = 4 w + 8
Add 21 to both sides :
9w - 21 + 21 = 4w + 8+ 21
9w = 4w + 29
9w - 4w = 29
5 w = 29
Divide both sides by 5 :
5 w / 5 = 29 / 5
w = 29 / 5
hope this helps!
