Answer :
[tex]A=2(L+W)\\\\A=2 L+2W\\ \\2W=A-2L\ \ /:2 \\\\W=\frac{A}{2} -\frac{2L}{2}\\\\W=\frac{1}{2}A -L[/tex]
For this case we have the following expression:
[tex] A = 2 (L + W)
[/tex]
From here, we want to clear the value of W.
For this, we follow the following steps:
1) Pass the number 2 dividing:
[tex] (L + W) = \frac{A}{2}
[/tex]
2) Pass the variable L subtracting:
[tex] W = \frac{A}{2} - L
[/tex]
Thus, we observe that we have the equation solved for the variable W.
Answer:
Solving the equation for W we have:
[tex] W = \frac{A}{2} - L [/tex]