To simplify the expression [tex]\(5m + m + 6\)[/tex], follow these steps:
1. Identify like terms:
- Like terms are terms that contain the same variables raised to the same power. In this expression, [tex]\(5m\)[/tex] and [tex]\(m\)[/tex] are like terms because they both contain the variable [tex]\(m\)[/tex].
2. Combine the like terms:
- Add the coefficients of the like terms.
[tex]\[5m + m = (5 + 1)m = 6m\][/tex]
3. Write the simplified expression:
- After combining the like terms, we are left with [tex]\(6m\)[/tex].
- Also, include the constant term, which in this case is [tex]\(6\)[/tex].
So, the simplified expression is:
[tex]\[
6m + 6
\][/tex]