Explanation:
1) Use the Distributive property to distribute -2 to w and -7:
-2w+14+10w=34
2) Combine alike terms (-2w and 10w):
14+8w=34
3) Subtract 14 from both sides:
8w=20
4) Divide by 8 on both sides to get x by itself:
w=20/8
5) Simplify the fraction 20/8:
5/2 or 2 1/2