Question

solve for w.
2w + 9 = 8w + 21
simplify your answer as much as possible.
w =

Explanation:

Step1: Subtract 2w from both sides

To isolate the variable terms, we subtract \(2w\) from each side of the equation \(2w + 9 = 8w + 21\). This gives us \(9 = 6w + 21\).

Step2: Subtract 21 from both sides

Next, we subtract 21 from both sides to get the constant terms on one side. So, \(9 - 21 = 6w\), which simplifies to \(-12 = 6w\).

Step3: Divide by 6

Finally, we divide both sides by 6 to solve for \(w\). \(\frac{-12}{6}=w\), so \(w = - 2\).

Answer:

\(w = -2\)