Final answer:
To solve the equation B(h+w) = 4h(11-j) for w, distribute B, subtract Bh from both sides and then divide by B, resulting in w = h(4(11-j) - B) / B.
Step-by-step explanation:
The given equation is B(h+w) = 4h(11-j). To solve for w, we need to isolate w on one side of the equation.
Firstly, we distribute B to both h and w: Bh + Bw = 4h(11-j). Next, we move Bh to the other side by subtracting it from both sides of the equation: Bw = 4h(11-j) - Bh.
Then, to solve for w, we divide both sides by B: w = (4h(11-j) - Bh) / B. We can factor out h from the numerator to simplify the equation further: w = h(4(11-j) - B) / B.
The correct answer is therefore not exactly listed among the options provided, but the closest one, which might be a typo, is w = 4h(11-j) / B - h.