u - 1/12 = -3/4

u=?

u - 1/12 = -3/4

u = 1/12 - 3/4
u = 1/12 - 9/12
u = ?

8/12?

No.

Watch your sign.

- 8/12 or -10/12?

- 8/12

Now simplify that.

To solve the equation, u - 1/12 = -3/4, we can follow these steps:

Step 1: Add 1/12 to both sides of the equation to isolate the variable, u.
u - 1/12 + 1/12 = -3/4 + 1/12
Simplifying on both sides gives us:
u = -3/4 + 1/12

Step 2: Find a common denominator for the fractions on the right side of the equation, -3/4 and 1/12, which is 12.
-3/4 can be rewritten as -9/12. So the equation becomes:
u = -9/12 + 1/12

Step 3: Add the fractions on the right side of the equation:
u = -9/12 + 1/12 = (-9 + 1)/12 = -8/12

Step 4: Simplify the result, if possible. In this case, we can divide both the numerator and denominator of -8/12 by their greatest common divisor, which is 4.
Dividing both -8 and 12 by 4 gives us:
u = -2/3

Therefore, the solution to the equation u - 1/12 = -3/4 is u = -2/3.