7( 2n+6)=9 (n+3) +5

Question

i need help please hurry 

Answer 1

7(2n + 6) = 9(n + 3) + 5

14n + 42 = 9n + 27 + 5

14n + 42 = 9n + 32

 

Can you solve for n?

Answer 2

"Solve" means to find the value of n for which the equation is true.

 

7( 2n+6)=9 (n+3) +5

14n + 42 = 9n + 27 + 5                       [distribute]

14n + 42 = 9n + 32                        [collect terms]

5n + 42 = 32                               [subtract 9n from both sides]

5n = -10                                   [subtract 42 from both sides]

n = -2                           [divide both sides by 5]

 

Check:

  Is 7(2(-2)+6)=9((-2)+3)+5   ?

      7(-4+6) = 9(1)+5   ?

      7(2) = 9 + 5   ?

       14 = 14   ?yes