Question

Solve,justify and check: 3(7+5n)=6n+6(1+4n)

Answer 1

The answer should be 1=n

Answer 2

1=n

Explanation:

Step 1- Distribute into the parenthesis.

7(3)+5(3)n= 6n+1(6)+4(6)n

Step 2- Multiply

21+15n= 6n+6+24n

Step 3- Add common variables to simplify.

21+15n= (24n+6n)+6

21+15n= 30n+6

Step 4- Subtract the smallest variable to both sides.

21+15n= 30n+6

-15n -15n

21= 15n+6

Step 5- Subtract 6 to both sides.

21= 15n+6

-6 -6

15= 15n

Step 6- Divide both sides by 15.

15= 15n

15 15

1=n