9514 1404 393
Answer:
w = -1/2
Step-by-step explanation:
Eliminate parentheses, collect terms:
7w +14 = -12w +6 +3w . . . eliminate parentheses
7w +14 = -9w +6 . . . . . . . . collect terms
16w +14 = 6 . . . . . . . . . . . . add 9w
16w = -8 . . . . . . . . . . . . . . . subtract 14
w = -1/2 . . . . . . . divide by 16, reduce the fraction
__
<em>Check</em>
7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)
7(3/2) = -6(-2) -3/2
21/2 = 12 -3/2 . . . . . true, answer checks OK
