Question

solve for w.
-3w + 11 = -8w + 51
simplify your answer as much as possible.
w =

Explanation:

Step1: Add \(8w\) to both sides

To isolate the variable terms on one side, we add \(8w\) to each side of the equation \(-3w + 11=-8w + 51\). This gives us \(-3w+8w + 11=-8w+8w + 51\), which simplifies to \(5w + 11 = 51\).

Step2: Subtract 11 from both sides

Next, we subtract 11 from both sides to isolate the term with the variable. So, \(5w+11 - 11=51 - 11\), which simplifies to \(5w=40\).

Step3: Divide by 5

Finally, we divide both sides by 5 to solve for \(w\). That is, \(\frac{5w}{5}=\frac{40}{5}\), so \(w = 8\).

Answer:

\(w = 8\)