Simplify the expression: 2k + -2k - 9 + -k ____

Group Like Terms: Group the like terms in the expression 2k + -2k - 9 + -k. We identify the like terms as 2k, -2k, and -k, which are all coefficients of k. The term -9 is a constant and does not have a like term in this expression. Expression after grouping: (2k + -2k + -k) - 9Combine Like Terms: Combine the like terms (2k + -2k + -k). We add the coefficients of k together. 2k + -2k + -k = 2k - 2k - k = 0k - k = -kSimplify Constant Term: Simplify the constant term -9. Since there are no other constant terms to combine with -9, it remains as is. Expression after simplifying: -k - 9Write Final Expression: Write the final simplified expression. The expression is now fully simplified, and we can write it as: Final Answer: -k - 9

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Simplify the expression: $\newline$ $2k + -2k - 9 + -k$

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Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Simplify the expression:

\newline

2k + -2k - 9 + -k

Group Like Terms: Group the like terms in the expression $2k + -2k - 9 + -k$ . We identify the like terms as $2k$ , $-2k$ , and $-k$ , which are all coefficients of $k$ . The term $-9$ is a constant and does not have a like term in this expression. Expression after grouping: $(2k + -2k + -k) - 9$
Combine Like Terms: Combine the like terms $2k + -2k + -k$ . We add the coefficients of $k$ together. $2k + -2k + -k = 2k - 2k - k = 0k - k = -k$
Simplify Constant Term: Simplify the constant term $-9$ . Since there are no other constant terms to combine with $-9$ , it remains as is. Expression after simplifying: $-k - 9$
Write Final Expression: Write the final simplified expression. $\newline$ The expression is now fully simplified, and we can write it as: $\newline$ Final Answer: $-k - 9$