Final answer:
The given equation is "6(W+1)-14=6(W-2)." After simplification and attempting to isolate W, we find that the equation results in a false statement (-8 = -12), indicating there is no solution for W.
Step-by-step explanation:
The equation given by the student is 6(W+1)-14=6(W-2). To solve for W, we should first expand the brackets on both sides of the equation:
6W + 6 - 14 = 6W - 12
Now, simplify by combining like terms:
6W - 8 = 6W - 12
Next, subtract 6W from both sides to get the W terms to cancel out:
-8 = -12
This indicates that the two sides of the equation are not equal, which suggests that there is no solution for the variable W in this case or that the equation is a false statement.