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Combine the like terms to create an equivalent expression:

r+(-5r)=

Combine the like terms to create an equivalent expression:\newliner+(5r)=r+(-5r)=

Full solution

Q. Combine the like terms to create an equivalent expression:\newliner+(5r)=r+(-5r)=
  1. Identify like terms: Identify like terms in the expression r+(5r) r + (-5r) .\newlineLike terms are terms that contain the same variable raised to the same power. Here, both terms 'r r ' and '5r -5r ' are like terms because they both contain the variable 'r r ' raised to the first power.
  2. Combine like terms: Combine the like terms by adding their coefficients.\newlineThe coefficient of 'rr' is 11 (since any number without a visible coefficient has an implied coefficient of 11), and the coefficient of '5r-5r' is 5-5. Adding these coefficients gives us 1+(5)1 + (-5), which equals 4-4.
  3. Write combined like terms: Write the combined like terms as a single term.\newlineSince we found that the combined coefficient is 4-4, the simplified expression is 4r-4r.

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