Question

Please solve and explain how. Photo attached

Answer 1

Answer:

n = -11

Step-by-step explanation:

Two fractions here have the same denominator, n - 6, but the third term (3) does not.  Finding and working with the LCD makes this problem solving much easier.  Multiply that 3 by (n - 6) and then divide it by (n - 6).  Then all three terms have the same denominator, and so we can cross out the denominator (n - 6):

n^2 + 6n + 5 - n^2 - 7  - 12 = 3n - 28

Combining like terms, we get:

3n - 2 = -35, or 3n = -33.  Thus, n = -33/3, or n = -11