Add: (2m−3)+(3n−1)+(3m+1)

Question

(
2
𝑚
−
3
)
+
(
3
𝑛
−
1
)
+
(
3
𝑚
+
1
)
.(1 point) ..

Answer 1

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

1. Start by writing the expression: \[ (2m - 3) + (3n - 1) + (3m + 1) \]

2. Distribute and group similar terms:

   • For the \(m\) terms: \(2m + 3m\)
   • For the \(n\) terms: \(3n\)
   • For the constant terms: \(-3 - 1 + 1\)

3. Combine these terms:

   • \(m\) terms: \(2m + 3m = 5m\)
   • \(n\) terms: \(3n\)
   • Constant terms: \(-3 - 1 + 1 = -3\)

4. Putting it all together: \[ 5m + 3n - 3 \]

So, the result of the addition is: \[ \boxed{5m + 3n - 3} \]