-4(x-8)=-32

To solve the equation -4(x-8) = -32, we'll use the distributive property on the left side of the equation:

-4 * x = -4x
-4 * -8 = 32

So the equation becomes:
-4x + 32 = -32

To isolate the variable term, we'll subtract 32 from both sides of the equation:
-4x + 32 - 32 = -32 - 32
-4x = -64

Finally, we'll solve for x by dividing both sides of the equation by -4:
-4x / -4 = -64 / -4
x = 16

Therefore, the solution to the equation is x = 16.