6(n + 5) = 2(n + 5) + 4(n + 5)
Are these two Equivalent

Yes ,they are equivalent.

Step-by-step explanation:

2(n + 5) + 4(n + 5) ; here since n+5 is a common factor so we can factor it out :

2(n + 5) + 4(n + 5) = (n + 5)×(2 + 4)

                             = (n + 5)×(6)

                             = 6(n + 5)

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

the correct answer is x/3+10≥32

hope this !