SOLUTION: Twice the difference between a number, n, and thirty-one is three times the number. How do I translate n solve this problem?

Question 731975: Twice the difference between a number, n, and thirty-one is three times the number. How do I translate n solve this problem?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Twice the difference between a number, n, and thirty-one is three times the number.
---
Equation:
2(n-31) = 3n
2n-62 = 3n
n = -62
--------------
Cheers,
Stan H.
==============
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Twice the difference between a number, n, and thirty-one is three times the number. How do I translate n solve this problem?
--------------
The difference between a number, n, and thirty-one can be n-31 or 31-n.
The absolute value, |n-31|, covers both.
-----
2|n-31| = 3n
2n-62 = 3n
n = -62
-----------
2(31-n) = 3n
62 - 2n = 3n
5n = 62
n = 12.4

RELATED QUESTIONS
Translate into an equations and solve. The difference between seven and twice a... (answered by stanbon)
The difference between nine and twice a number, n, is one. I don't understand how to... (answered by oberobic)
The sum of nine and a number, x, is three The product of nine and a number, n, is... (answered by MathTherapy)
Twice the difference between a number, x, and thirty-nine is three times the... (answered by josgarithmetic,MathTherapy)
The difference between some number and negative eight is the same result as three times... (answered by josgarithmetic,ikleyn)
Translate into a variable expression. Then simplify. one-half the total of eight times a (answered by TimothyLamb)
I can't figure out how to do this problem. The sum of three times a number and 7 more... (answered by stanbon)
Three times the sum of twice a number, n, and six is eighteen. Translate and find... (answered by Shana-D77)
i am needng to translate and solve--the absolute value of three times a number(n) is... (answered by Fombitz)