When we combine like terms, we add or subtract the coefficients of the variables. In this case, we have $-3n$ and $-6n$, which are like terms because they both have the variable $n$. The coefficient of $n$ in $-3n$ is $-3$, and the coefficient of $n$ in $-6n$ is $-6$. When we combine the like terms, we add the coefficients to get $(-3-6)n=-9n$.
We also have $-7$ and $1$, which are like terms because they are both constants. When we combine these terms, we add the coefficients to get $(-7+1)=-6$.
Therefore, the expression $-3n-7+(-6n)+1$ is equivalent to $\boxed{-9n-6}$.
Combine the like terms to create an equivalent expression:
\large{-3n-7+(-6n)+1}−3n−7+(−6n)+1
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