Question 261594
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