Question

which expression is equivalent to $-3w + 9 + 7w - 3$?

answer

$\circ$ $-10w + 6$ $\circ$ $4w + 6$

$\circ$ $4w + 12$ $\circ$ $-10w + 12$

Explanation:

Step1: Combine like terms for \(w\)

We have \(-3w\) and \(7w\). Combining them: \(-3w + 7w = (-3 + 7)w = 4w\)

Step2: Combine constant terms

We have \(9\) and \(-3\). Combining them: \(9 - 3 = 6\)

Step3: Combine the results

Putting the combined like terms together, we get \(4w + 6\)

Answer:

\(4w + 6\) (corresponding to the option "4w + 6")