<u><em>Answer:</em></u>
w = -5
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
2(w+1) - 3(w+1) = 4
<u>The first step is to get rid of the brackets as follows:</u>
2(w) + 2(1) - 3(w) - 3(1) = 4
2w + 2 - 3w - 3 = 4
<u>The second step is to combine like terms as follows:</u>
2w - 3w + 2 - 3 = 4
-w - 1 = 4
<u>The last step is to isolate the w on one side of the equation as follows:</u>
-w = 4 + 1
-w = 5
w = - 5
<u>Now, we check by substituting w = -5 in the original equation as follows:</u>
2(-5+1) - 3(-5+1)
= 2(-4) - 3(-4)
= -8 - -12
= -8 + 12
= 4 ..............> verified
Hope this helps :)