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Combine the like terms to create an equivalent expression: -5+(-5r)+10

Combine the like terms to create an equivalent expression:\newline−5+(−5r)+10-5+(-5r)+10

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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:\newline−5+(−5r)+10-5+(-5r)+10
  1. Identify like terms: Identify like terms in the expression −5+(−5r)+10-5+(-5r)+10.\newlineIn this expression, −5-5 and 1010 are like terms because they are both constants without variables. The term −5r-5r is not like any other term because it contains a variable.
  2. Combine like terms: Combine the like terms −5-5 and 1010.\newlineTo combine these terms, simply add them together.\newline−5+10=5-5 + 10 = 5
  3. Write simplified expression: Write the simplified expression by including the term with the variable.\newlineSince −5r-5r did not have any like terms, it remains unchanged in the expression.\newlineThe simplified expression is 5−5r5 - 5r.

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