3(b+3)+4b how do you simplify the expression?

7b+3
Remember your distributive property. If you can master that, you'll find your math class easier.

The distributive property says that if you want to multiply a number outside of parentheses with a bunch of stuff inside the parenthesis, you've got to multiply that number against each item inside the parentheses.

So, for 3(b+3)+4b you've get to multiply 3 by each item in the parentheses.

3(b+3)+4b

become

3xb + 3x3 + 4b

and that can be written:

3b + 9 + 4b

Now you can combine you like terms. That means combine everything near b.

7b + 9

3(b+3)+4b
3b+9+4b
7b+9
use distributive property.... so 3 (b + 3) + 4b becomes 3b + 9 + 4b. since you only distribute to whats within the parenthesis. then add the numbers with equal (what are those called, coefficients??) well the same correspondence. so its gonna be 7b + 9.
3(b+3)+4b

3b + 9 + 4b

7b + 9
first you distribute the three within the parentheses
and you get 3b+9+4b
afterwards you combine like terms and you get
7b+9
3(b + 3) + 4b (distribute 3)
3b + 9 + 4b (combine like terms) 