Add: (2m−3)+(3n−1)+(3m+1)

.(1 point)

1 answer

To simplify the expression \((2m - 3) + (3n - 1) + (3m + 1)\), we will combine like terms.

  1. Group the like terms:

    • The \(m\) terms: \(2m\) and \(3m\)
    • The \(n\) terms: \(3n\)
    • The constant terms: \(-3\), \(-1\), and \(+1\)
  2. Combine the terms:

    • For \(m\): \(2m + 3m = 5m\)
    • For \(n\): \(3n\)
    • For constants: \(-3 - 1 + 1 = -3\)

Putting everything together, we get: \[ 5m + 3n - 3 \]

So, the simplified expression is: \[ \boxed{5m + 3n - 3} \]

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