Question

8 + 8( 8 - n ) = 40 + 8n

Answer 1

n=2

8+8(8-n)=40+8n (distribute 8 through the parenthesis)

8+64-8n=40-8n (add the numbers)

72-8n=40+8n (move the variable to the left side and change its sign)

72-8n+8n=40

-8n+8n=40-72 (connect like terms)

-16n = -32 (divide both sides by -16)

n=2

Answer 2

8 + 8(8 - n) = 40 + 8n

8 + 64 - 8n = 40 + 8n     distributed 8 on the left side

     72 - 8n = 40 + 8n      added like terms on the left side

     32 - 8n = 8n              subtracted 40 from both sides

     32        = 16n             added 8n to both sides

      2         =  n                divided both sides by 2

Answer: n = 2