Im having problems with this equation

13+4w=-5(-w-6)+2(w+1) im completely lost and it would help if you show the steps clearly so i can understand how to solve it.

13+4w=-5(-w-6)+2(w+1)
First, I would distribute the -5 to the -w and the -6.

13+4w = 5w+30 + 2(w+1) Remember that negative times a negative is a positive.

Next, distribute the 2 to the w and the 1.

13+4w = 5w+30+2w+2
Next, I would add the variables and the constants on the right side.

13+4w = 7w +32
Put all the variables on one side, and the constants on the other side.
So, you would move the 4w to the right side. But when you move the 4w to the other side, it turns negative.

13 = 3w +32
Next, I would subtract 32 on both sides.
-19 = 3w

So w = -19/3

= 13+4w=5w+30+2w+2

then transpose the like terms

= 4w-5w-2w=30+2-13

you are now ready to compute depending on the sign of the operation to be use

= -3w=19

then divide both terms by -3 so that you can cancel -3 on the other side

Ans. w=19/3 (19 over 3)

13+4w=-5(-w-6)+2(w+1)

expand

13 + 4w = 5w + 2w + 2

consolidate units

13 + 4w = 7w + 2

subtract 4w

13 = 3w + 2

subtract 2

11 = 3w

w = 11/3

13+4w+5w+30+2w+2
13+4w=7w+32
-3w=19
w=19/-3