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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)=

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

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)=5k−2k=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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