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Combine the like terms to create an equivalent expression:

5k+(-2k)-(-1)=

Combine the like terms to create an equivalent expression:\newline5k+(2k)(1)=5k+(-2k)-(-1)=

Full solution

Q. Combine the like terms to create an equivalent expression:\newline5k+(2k)(1)=5k+(-2k)-(-1)=
  1. Identify and group like terms: Identify and group like terms in the expression 5k+(2k)(1)5k + (-2k) - (-1).\newlineThe like terms here are 5k5k and (2k)(-2k). The term (1)(-1) is a constant and does not have a like term to combine with.
  2. Combine like terms: Combine the like terms 5k5k and (2k)(-2k).\newline5k+(2k)=5k2k=3k5k + (-2k) = 5k - 2k = 3k
  3. Simplify constant term: Now, simplify the constant term (1)-(-1).\newline(1)=+1-(-1) = +1 because the double negative becomes a positive.
  4. Combine simplified terms: Combine the simplified like terms with the constant term.\newline3k+13k + 1\newlineThis is the simplified form of the expression.

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