Provide A Reason For Each Step Of Simplifying The Expression 3 3(4p-1)-7p

To simplify the expression 3 * 3(4p - 1) - 7p, we will follow these steps:

Step 1: Distribute the 3 to the terms inside the parentheses.
The expression becomes: 3 * 12p - 3 * 1 - 7p

Explanation:
When we have a number or variable outside the parentheses and want to simplify the expression inside the parentheses, we need to distribute or multiply the outside value to each term inside the parentheses.

Step 2: Simplify the multiplications inside.
The expression becomes: 36p - 3 - 7p

Explanation:
We multiplied 3 by 4p to get 12p, and multiplied 3 by -1 to get -3.

Step 3: Combine like terms.
The expression becomes: (36p - 7p) - 3

Explanation:
We combined the like terms 36p and -7p by subtracting them, resulting in 29p.

Step 4: Simplify further.
The expression becomes: 29p - 3

Explanation:
There are no more like terms to combine, so we leave it as 29p - 3, which is the simplified form of the expression.

By following these steps, we can simplify the expression 3 * 3(4p - 1) - 7p to 29p - 3.