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Question 261594: 13+4w=-5(-w-6)+2(w+1)
Answer by butterfliiizzz(18) (Show Source):
You can put this solution on YOUR website! 13 + 4w = -5(-w -6) + 2(w +1)
The first thing we need to do with this problem is perform the multiplications that are implied by the parentheses. -5*-w is positive 5w (a negative times a negative is a positive number.) -5*-6= 30
You do the same with the next part: 2*w= 2w 2*1=2 so now your problem looks like this:
13 + 4w = 5w +30 +2w +2
Now we combine like terms: 5w + 2w = 7w 30 + 2= 32
13 + 4w = 7w + 32
Now we solve for w by getting it by itself on one side of the equation. So we could subtract 4w from each side to get: 13 = 3w +32. Now we subtract 32 from each side to balance it out. -19 = 3w Now we have to divide each side by 3 to be able to cancel out the 3 by the w. We can do that because any number over itself equals one. And we just want 1 w on that side.
So the answer is: -19/3 = w OR w = -19/3
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