Add: ( 2m - 3 ) + ( 3n - 1 ) + ( 3m + 1 )

1 answer

To add the expression \((2m - 3) + (3n - 1) + (3m + 1)\), we can group like terms together.

  1. Combine the \(m\) terms:

    • From \(2m\) and \(3m\): \(2m + 3m = 5m\)
  2. Combine the \(n\) terms:

    • The only \(n\) term is \(3n\): \(3n\)
  3. Combine the constant terms:

    • From \(-3\), \(-1\), and \(1\): \(-3 - 1 + 1 = -3\)

Now, putting it all together, we have:

\[ 5m + 3n - 3 \]

Therefore, the sum of the expression \((2m - 3) + (3n - 1) + (3m + 1)\) is:

\[ 5m + 3n - 3 \]