Question

simplify the expression:
10w + -9 + -8w + -8 + -5 + 6w

Explanation:

Step1: Combine like terms for \( w \)

\( 10w - 8w + 6w = (10 - 8 + 6)w \)

Step2: Combine constant terms

\( -9 - 8 - 5 = - (9 + 8 + 5) \)

Step3: Calculate the results

For the \( w \) terms: \( 10 - 8 + 6 = 8 \), so \( (10 - 8 + 6)w = 8w \)
For the constant terms: \( 9 + 8 + 5 = 22 \), so \( - (9 + 8 + 5) = -22 \)

Step4: Combine the two results

\( 8w - 22 \)

Answer:

\( 8w - 22 \)