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