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Combine the like terms to create an equivalent expression:

-3n-7+(-6n)+1

Combine the like terms to create an equivalent expression: $\newline$ $-3n-7+(-6n)+1$

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Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Combine the like terms to create an equivalent expression:

\newline

-3n-7+(-6n)+1

Identify and group like terms: Identify and group like terms in the expression $-3n - 7 + (-6n) + 1$ . $\newline$ The like terms here are $-3n$ and $-6n$ , which are both coefficients of $n$ . The constants $-7$ and $+1$ can also be grouped together. $\newline$ Expression after grouping: $(-3n + (-6n)) + (-7 + 1)$
Combine like terms that are coefficients of $n$ : Combine the like terms that are coefficients of $n$ . $\newline$ $-3$ n + ( $-6$ n) = $-3$ n - $6$ n = $-9$ n
Combine constant terms: Combine the constant terms $-7$ and $+1$ . $\newline$ $-7 + 1 = -6$
Write simplified expression: Write the simplified expression by combining the results from Step $2$ and Step $3$ . $\newline$ The simplified expression is $-9n - 6$ .

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