If n represents a number then write the expression for the difference of three times the number after it was increased by three and twice that number

3(n+3)-2n

Sure! Let's break down the problem step by step to find the expression for the difference.

Step 1: Let's start by defining the variable. We are told that "n" represents a number.

Step 2: The first part of the expression asks to multiply the number by three and then increase it by three. We can write this as: 3n + 3.

Step 3: The second part of the expression asks to multiply the number by two. We can write this as: 2n.

Step 4: Finally, we need to find the difference between the first part and the second part of the expression. To do this, we subtract the second part from the first part: (3n + 3) - 2n.

Combining all the steps, the expression for the difference of three times the number after it was increased by three and twice that number can be written as (3n + 3) - 2n.