3w + 2 < -12 - (3w - 2) distribute the negative into the parenthesis.
3w + 2 < -12 - 3w + 2 solve -12 + 2, since they are like terms.
3w + 2 < -3w - 10
+3w +3w add 3w to both sides, 3w's cancel on the right.
_____________
6w + 2 < -10
-2 -2 subtract 2 on both sides, 2's cancel out on the left.
___________
6w < -12
___ ___ divide 6 on both sides, 6's cancel out on the left.
6 6
w < -2 final answer, which is option C.
Hope this helps! Let me know if you have any questions related to this problem. :)
