Please solve and explain how. Photo attached

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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value