Question

Solve for n.

6 – 10n = -1 – 8n – 9n

Answer 1

Simplifying
6 + -10n = -1 + -8n + -9n

Combine like terms: -8n + -9n = -17n
6 + -10n = -1 + -17n

Solving
6 + -10n = -1 + -17n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '17n' to each side of the equation.
6 + -10n + 17n = -1 + -17n + 17n

Combine like terms: -10n + 17n = 7n
6 + 7n = -1 + -17n + 17n

Combine like terms: -17n + 17n = 0
6 + 7n = -1 + 0
6 + 7n = -1

Add '-6' to each side of the equation.
6 + -6 + 7n = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = -1 + -6
7n = -1 + -6

Combine like terms: -1 + -6 = -7
7n = -7

Divide each side by '7'.
n = -1

Simplifying
n = -1
We good so far?

Answer 2

Um, yes. Yes, I got it so far.

Answer 3

Now do what we did last time: Prove that it's the right answer by what?

Answer 4

Putting the answer back into the equation.

Answer 5

So do that.

Answer 6

6 – 10 x -1 = -1 – 8 x -1 – 9 x -1
6 - 10 x -1 = 16
-1 - 8 x -1 - 9 x -1 = 16
16 = 16 So our equation is true.

Answer 7

Great job! ;)

Answer 8

Thanks for the help. :)

Answer 9

My pleasure!