Sure, let's combine the like terms in the expression [tex]\(-5 + (-5r) + 10\)[/tex].
1. Identify the like terms:
- The constant terms are [tex]\(-5\)[/tex] and [tex]\(10\)[/tex].
- The variable term is [tex]\(-5r\)[/tex].
2. Combine the constant terms:
- [tex]\(-5\)[/tex] and [tex]\(10\)[/tex] are constants. When we add them together, we get:
[tex]\[
-5 + 10 = 5
\][/tex]
3. The variable term remains as is:
- The variable term in the expression is [tex]\(-5r\)[/tex].
4. Form the equivalent expression:
- We combine the results from the constant terms and the variable term to form the equivalent expression:
[tex]\[
5 + (-5r)
\][/tex]
So, the equivalent expression to [tex]\(-5 + (-5r) + 10\)[/tex] is:
[tex]\[
5 + (-5r)
\][/tex]
This is the combined and simplified form of the given expression.
