3times the sum of 6 and a number is 33

Step-by-step explanation:

Let the number in question be 'n'.  Then twice the sum of the number and 3 is written as:

2(n + 3)

Three times the difference of the number and 9 is written as:

3(n - 9)

The problem says these two are equal, so:

2(n + 3) = 3(n - 9)

2n + 6 = 3n - 27

Add 27 to both sides:

2n + 33 = 3n

Subtract 2n from both sides:

33 = n (the number is 33)

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.