Question

2- 1/2n=3n+16

I need you to solve the whole equation step by step

Answer 1

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4

Answer 2

n = -4

Explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.