Add: (2m−3)+(3n−1)+(3m+1) .

To simplify the expression, we can combine like terms.

(2m−3)+(3n−1)+(3m+1)

Combining the terms with 'm', we have:
2m + 3m = 5m

Putting it back into the expression, we have:
5m − 3 + (3n − 1) + 1

Combining the terms with 'n', we have:
3n

Now, putting it back into the expression, we have:
5m − 3 + 3n − 1 + 1

Combining the constant terms, we have:
-3 - 1 + 1 = -3

Now, putting it back into the expression, we have:
5m + 3n - 3

Add: (2m−3)+(3n−1)+(3m+1) .

To simplify the expression, we can combine like terms:

(2m−3)+(3n−1)+(3m+1)

Using the distributive property, we can remove the parentheses:

2m - 3 + 3n - 1 + 3m + 1

Now, let's combine the like terms:

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

Combining the terms with 'm':

5m + (3n) + (-3 - 1 + 1)

Combining the constant terms:

5m + 3n - 3

Therefore, the simplified expression is 5m + 3n - 3.

Subtract: 2(10b+4)−(b−2) .

To simplify the expression, we'll first distribute the 2 to the terms inside the parentheses:

2(10b+4)−(b−2)
= 20b + 8 - (b - 2)

Next, we'll remove the parentheses:

20b + 8 - b + 2

Now, we can combine like terms:

(20b - b) + (8 + 2)
= 19b + 10

Therefore, the simplified expression is 19b + 10.

Subtract: (3g−4)−2(3g+4)

To simplify the expression, we'll first distribute the -2 to the terms inside the parentheses:

(3g−4)−2(3g+4)
= 3g - 4 - 2*3g - 2*4
= 3g - 4 - 6g - 8
= (3g - 6g) + (-4 - 8)
= -3g - 12

Therefore, the simplified expression is -3g - 12.