Sure! Let's solve the expression [tex]\(-3p + 6p\)[/tex] step by step.
### Step-by-Step Solution
1. Identify Like Terms:
- The terms [tex]\(-3p\)[/tex] and [tex]\(6p\)[/tex] are like terms because they both contain the variable [tex]\(p\)[/tex].
2. Combine the Like Terms:
- To combine the like terms, you simply add or subtract their coefficients (the numerical parts in front of the variable [tex]\(p\)[/tex]).
3. Calculate the Result:
- The coefficients of the terms are [tex]\(-3\)[/tex] and [tex]\(6\)[/tex].
- Add the coefficients: [tex]\(-3 + 6\)[/tex].
4. Simplify the Expression:
- [tex]\(-3 + 6 = 3\)[/tex].
- Now, multiply this result by the variable [tex]\(p\)[/tex].
Putting it all together:
[tex]\[
-3p + 6p = ( -3 + 6 ) p = 3p
\][/tex]
### Final Answer
The simplified form of the expression [tex]\(-3p + 6p\)[/tex] is:
[tex]\[
3p
\][/tex]
