what is -3(k-4)=51

It is an equation. Are you asking what is k?

-3k+12=51
-3k=39
k=-13

k=-13

To solve the equation -3(k - 4) = 51, we need to isolate the variable k. Let's break down the steps to solve it:

Step 1: Distribute the -3 to the terms inside the parentheses.
-3(k - 4) = 51
-3k + 12 = 51

Step 2: Move the constant term to the opposite side of the equation by subtracting 12 from both sides.
-3k + 12 - 12 = 51 - 12
-3k = 39

Step 3: Divide both sides of the equation by -3 to solve for k.
(-3k) / (-3) = 39 / (-3)
k = -13

Therefore, the solution to the equation -3(k - 4) = 51 is k = -13.