Question

solve for w.

-9w - 5 + 6w = 19

simplify your answer as much as possible.

w =

(there are also some input buttons like fraction, mixed number, undo, and clear buttons shown in the image, but they are for inputting the answer.)

Explanation:

Step1: Combine like terms

Combine the \( w \)-terms: \( -9w + 6w = -3w \). So the equation becomes \( -3w - 5 = 19 \).

Step2: Add 5 to both sides

Add 5 to each side: \( -3w - 5 + 5 = 19 + 5 \), which simplifies to \( -3w = 24 \).

Step3: Divide by -3

Divide both sides by -3: \( \frac{-3w}{-3} = \frac{24}{-3} \), so \( w = -8 \).

Answer:

\( w = -8 \)