Write the expression 7b-3(b-1) in simplest form

4b-3 .. you use distributive property and multiply 3*b-1 then you have 7b-3b-3 then you combine like terms and subtract 3b from 7b and get 4b-3

We start off with our equation:

7b-3(b-1)

Following the order of operations, we will deal with the parenthesis first.

7b-3(b-1)

Using the distributive property, we multiply each term in the parenthesis by 3.

7b-(3b)-(3*1)
7b-3b-3

Now we will simplify the rest of the expression.

We can see that '7b' and '3b' are like terms. Therefore, we can combine them.

7b-3b-3
4b-3

In the equation, we no longer have any more like terms. We cannot simplify it any more.

The simplest form of 7b-3(b-1) is 4b-3.