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Combine the like terms to create an equivalent expression: -n+(-3)+3n+5

Combine the like terms to create an equivalent expression:\newline−n+(−3)+3n+5-n+(-3)+3n+5

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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−n+(−3)+3n+5-n+(-3)+3n+5
  1. Identify and group like terms: Identify and group like terms in the expression −n+(−3)+3n+5-n + (-3) + 3n + 5.\newlineLike terms are −n-n and 3n3n, while −3-3 and 55 are constants that can be combined.\newlineGrouping like terms gives us: (−n+3n)+(−3+5)(-n + 3n) + (-3 + 5).
  2. Combine like terms −n-n and 3n3n: Combine the like terms −n-n and 3n3n.−n+3n=2n.-n + 3n = 2n.
  3. Combine constants −3 -3 and 5 5 : Combine the constants −3 -3 and 5 5 .−3+5=2 -3 + 5 = 2 .
  4. Write simplified expression: Write the simplified expression by combining the results from the previous steps.\newlineThe simplified expression is 2n+22n + 2.

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