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Combine the like terms to create an equivalent expression:

2r+1+(-4r)+7

Combine the like terms to create an equivalent expression:\newline2r+1+(4r)+72r+1+(-4r)+7

Full solution

Q. Combine the like terms to create an equivalent expression:\newline2r+1+(4r)+72r+1+(-4r)+7
  1. Identify like terms: Identify like terms in the expression 2r+1+(4r)+72r + 1 + (-4r) + 7.\newlineLike terms are terms that contain the same variable raised to the same power. Here, 2r2r and (4r)(-4r) are like terms because they both contain the variable rr raised to the first power. The numbers 11 and 77 are like terms because they are both constants.
  2. Combine like terms: Combine the like terms 2r2r and (4r)(-4r).\newlineTo combine these terms, we add their coefficients: 2+(4)=22 + (-4) = -2. So, 2r+(4r)2r + (-4r) becomes 2r-2r.
  3. Combine constants: Combine the constants 11 and 77. To combine these constants, we simply add them together: 1+7=81 + 7 = 8.
  4. Write simplified expression: Write the simplified expression by combining the results from steps 22 and 33.\newlineThe simplified expression is 2r+8-2r + 8.

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