-2(m-30)=-6

-2(m-30)=-6

-2m + 60 = -6
-2m = -66
m = -33

Negative divided by a negative equals a positive. Right?

To solve the equation -2(m-30)=-6, we will follow the steps below:

Step 1: Distribute the -2 to the terms inside the parentheses:
-2 * m = -2m
-2 * (-30) = 60
So the equation becomes: -2m + 60 = -6.

Step 2: Simplify the equation by combining like terms. In this case, we have -2m and 60 on the left side:
-2m + 60 = -6.

Step 3: To isolate the variable term, we need to move the constant term to the right side of the equation. We do this by subtracting 60 from both sides:
-2m + 60 - 60 = -6 - 60.
This simplifies to: -2m = -66.

Step 4: To find the value of m, we need to isolate it by dividing both sides of the equation by -2:
(-2m)/-2 = (-66)/-2.
This simplifies to: m = 33.

Therefore, the solution to the equation -2(m-30)=-6 is m = 33.