Question

8w - 8 = -4w + 16
w=16
w=2
w=24
w=8

Explanation:

Step1: Add 4w to both sides

To solve the equation \(8w - 8=-4w + 16\), we first add \(4w\) to both sides to get all the \(w\) terms on one side. This gives us \(8w+4w - 8=-4w + 4w+ 16\), which simplifies to \(12w-8 = 16\).

Step2: Add 8 to both sides

Next, we add 8 to both sides of the equation \(12w-8 = 16\) to isolate the term with \(w\). So, \(12w-8 + 8=16 + 8\), which simplifies to \(12w=24\).

Step3: Divide by 12

Finally, we divide both sides of the equation \(12w = 24\) by 12 to solve for \(w\). \(\frac{12w}{12}=\frac{24}{12}\), so \(w = 2\).

Answer:

\(w = 2\) (corresponding to the option with \(w = 2\))