Question

what is the solution to the equation? 9w = -18 w = -9; w = -2; w = -\frac{1}{2}; w = -162

Explanation:

Step1: Isolate the variable \( w \)

To solve for \( w \) in the equation \( 9w = -18 \), we divide both sides of the equation by 9. This is because we want to get \( w \) by itself, and dividing both sides by the coefficient of \( w \) (which is 9) will achieve that. The equation becomes:
\[
\frac{9w}{9} = \frac{-18}{9}
\]

Step2: Simplify both sides

Simplifying the left side, \( \frac{9w}{9} \) simplifies to \( w \). Simplifying the right side, \( \frac{-18}{9} \) simplifies to \( -2 \). So we have:
\[
w = -2
\]

Answer:

\( w = -2 \) (corresponding to the option: \( w = -2 \))