SOLUTION: wat is the solution to this equation? n + 18 + 2n = -12 a.) n = -10 b.) n = -2 c.) n = 1/2 d.) n = 6 e.) n = 9

Algebra.Com
Question 1867: wat is the solution to this equation?
n + 18 + 2n = -12
a.) n = -10
b.) n = -2
c.) n = 1/2
d.) n = 6
e.) n = 9

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!
with any equation, you need to collect like terms together and follow some basic rules like "whatever you do on one side of the = you have to do on the other side too". That is about it really.
so, n + 18 + 2n = -12
collecting all the n terms together gives 3n + 18 = -12
now we want to remove the +18 from the lefthand side, so to do this we take away 18. Here the rule above kicks in...we have done something to the lefthand side, so we must do the same to the righthand side: In full it is: 3n+18-18=-12-18. But we never write this. We just write the following line
3n = -30
So this says 3 "n's" are 30, so what is 1 n?. Answer?
We have 3 of these "n's" and we want to make it just 1 of them whilst leaving the n alone, so we divide the 3 by 3 to give 1. And we do the same to other side...-30 divided by 3 is -10....
n = -10
Hope this is somewhat clearer?
cheers
Jon

RELATED QUESTIONS

If n is any negative number, which of the following must be positive? (A) n/2 (B) 2n (answered by stanbon)
if n is any negative number ,which of the following must be positive ? a n/2 b (answered by Alan3354,jim_thompson5910)
Dear math teacher, I am having difficulties with the following problem: 4 times nC2 (answered by Theo)
If 0 < n < 1, which of the following gives the correct ordering of √n, n, and, n^2 (answered by CharlesG2)
If n is a whole number then the largest number that n(n+1)(2n+1) is divisible by for all... (answered by jsmallt9)
Which of the following numbers is odd for every integer n? A) 2003n B) n^2 + 2003 C)... (answered by richwmiller)
For n ∈N, P(n) is a proposition such that for any n ∈ N, P(n + 1) ⇒... (answered by tommyt3rd)
Please help me to solve the following problem:... (answered by Alan3354)
What is the value of n after it has been decreased by 16 2/3% ? a 1/6 n b 1/3 n (answered by rfadrogane,stanbon)