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Combine like terms to create an equivalent expression.

0.25 k+1.5-k-3.5

Combine like terms to create an equivalent expression.\newline0.25k+1.5k3.50.25 k + 1.5 - k - 3.5

Full solution

Q. Combine like terms to create an equivalent expression.\newline0.25k+1.5k3.50.25 k + 1.5 - k - 3.5
  1. Identify and group like terms: Identify and group like terms in the expression 0.25k+1.5k3.50.25k + 1.5 - k - 3.5. The like terms here are the terms with the variable kk, which are 0.25k0.25k and k-k, and the constant terms, which are 1.51.5 and 3.5-3.5. Grouping like terms gives us (0.25kk)+(1.53.5)(0.25k - k) + (1.5 - 3.5).
  2. Combine like terms with variable k: Combine the like terms with the variable k.\newline00.2525k - k is the same as 00.2525k - 11k, which simplifies to 0-0.7575k.
  3. Combine constant terms: Combine the constant terms 1.51.5 and 3.5-3.5.\newline1.53.51.5 - 3.5 equals 2-2.
  4. Write simplified expression: Write the simplified expression by combining the results from Step 22 and Step 33.\newlineThe simplified expression is 0.75k2-0.75k - 2.

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