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# how do u rewrite 3k-7=32

I dont understand how to distributive property to rewrite the equation n than solve for each variable ?

### 3 Answers by Expert Tutors

Bruce B. | Mathematics and Physics; Calculus and Mechanics SpecialtyMathematics and Physics; Calculus and Me...
4.8 4.8 (4 lesson ratings) (4)
1
Hey Jeannette, to distribute something to is when you have a coefficient in front of something in parenthesis and you need to multiply all of those numbers in the parenthesis by the coefficient.

Example:
3(X + 2Y) → 3X + 6Y

You can also do this in reverse, pulling out the common factor.

6X + 3Y → 3(2X + Y)

With the problem we have here there are two ways we can do it.

We can pull out the 3, leaving a fraction.
3K - 7 → 3(K - 7/3)

Or, to keep it at whole numbers we can subtract 32 from each side, and then factor
3K - 7 = 32 → 3K - 39 = 0 → 3(K - 13) = 0

If you are trying to solve the equation, then you just need to get K by itself on one side. This is similar to what we did before. Add 7 to both sides, and then divide each side by 3.
3K - 7 = 32 → 3K = 39 → K = 13

Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
5.0 5.0 (3 lesson ratings) (3)
1
3k-7=32

3k = 39

Divide by 3 both sides:
k = 13

The distributive property wasn't used for this solution.
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
0
Hi Jeannette;
3k-7=32
We want...
3(k-__)
Obviously, the number 7 is not good to use for the blank position.   So let's move the 32 from the right side to the left...
3k-7-32=0
3k-39=0
3(k-13)=0
This distributes as...
(3)(k)=3k
(3)(13)=39