To simplify the expression [tex]\( 3w + (-w) - 2 + (-10) - 2w + (-9)w \)[/tex], follow these steps:
1. Combine like terms involving [tex]\( w \)[/tex]:
- [tex]\( 3w + (-w) \)[/tex] simplifies to [tex]\( 3w - w = 2w \)[/tex].
- Next, combine [tex]\( 2w \)[/tex] with [tex]\( -2w \)[/tex]:
[tex]\[
2w - 2w = 0w
\][/tex]
- Now, we add [tex]\( -9w \)[/tex] to the simplified terms:
[tex]\[
0w - 9w = -9w
\][/tex]
So, combining the coefficients of [tex]\( w \)[/tex]:
[tex]\[
3w + (-w) - 2w + (-9)w = -9w
\][/tex]
2. Combine the constant terms:
- Combine [tex]\(-2\)[/tex] and [tex]\(-10\)[/tex]:
[tex]\[
-2 + (-10) = -2 - 10 = -12
\][/tex]
3. Combine the results from steps 1 and 2:
- The simplified expression is:
[tex]\[
-9w - 12
\][/tex]
Therefore, the simplified expression is:
[tex]\[
-9w - 12
\][/tex]
