n-2=10n+4 over 2 what is the value of n?

n-2= (10n+4)/2

n-2 = 5n + 2
-4 = 4n
n = -1

Thank you soo much!

To find the value of n in the equation, we need to simplify and solve it step by step. Let's break it down:

1. Distribute the 10n to both terms in the numerator:
n - 2 = 10n + 4 / 2

This becomes:
n - 2 = 10n + 2

2. Next, simplify the fraction in the numerator:
Since 4/2 equals 2, we have:
n - 2 = 10n + 2

3. Combine similar terms:
Since both sides of the equation have a n term, let's bring them together by subtracting 10n from both sides:
n - 10n - 2 = 10n - 10n + 2

Simplifying this gives us:
-9n - 2 = 2

4. To isolate n, we need to get rid of the constant on the left side. Let's add 2 to both sides:
-9n - 2 + 2 = 2 + 2

This simplifies to:
-9n = 4

5. Finally, to solve for n, we divide both sides by -9:
-9n / -9 = 4 / -9

The equation becomes:
n = -4/9

Thus, the value of n in the given equation is -4/9.