Answer:
n=21
Step-by-step explanation:
We must find n.
Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.
First lets do 5(n - 7). We get 5n - 35
Now 2(n + 14) is 2n + 28
Okay...... now we have 
Now lets do OPPOSITES!!!! We must do the opposite of each thing to both sides.
The opposite of -35 is positive 35. Lets add 35 to both sides. We get:

Now lets do the opposite of 2n which is -2n

this is looking quite nice isnt it..........
The opposite of 3 times n is 3 DIVIDED BY n. So lets divide both sides by 3

amazing.......
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = -
, hence
y = -
x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = -
x - 3 ← is the equation of the line
Since you mentioned the fundamental counting principle, I assume you are looking for the total number of possibilities.
If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.
If you are doing both, you multiply the two numbers together.
12 x 7 = 84
I considered them, but if you wanted them evaluated, here you go
24,000
630,000
96,000,000